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group theory, the Fitting subgroup F of a finite group G, named after Hans Fitting, is the unique largest normal nilpotent subgroup of G. Intuitively
Fitting_subgroup
Theorem classifying finite simple groups
group is of characteristic 2 type if the generalized Fitting subgroup F*(Y) of every 2-local subgroup Y is a 2-group. As the name suggests these are roughly
Classification of finite simple groups
Classification_of_finite_simple_groups
Intersection of all maximal subgroups
a p ⟩ {\displaystyle \Phi (G)=\left\langle a^{p}\right\rangle } . Fitting subgroup Frattini's argument Socle Frattini, Giovanni (1885). "Intorno alla
Frattini_subgroup
Fitting's theorem is a mathematical theorem proved by Hans Fitting. It can be stated as follows: If M and N are nilpotent normal subgroups of a group G
Fitting's_theorem
Concept in mathematics
Frobenius group. The subgroup of a Zassenhaus group fixing a point is a Frobenius group. Frobenius groups whose Fitting subgroup has arbitrarily large
Frobenius_group
Measurement in group theory algebra mathematics
Fitting, due to his investigations of nilpotent normal subgroups. A Fitting chain (or Fitting series or nilpotent series) for a group is a subnormal series
Fitting_length
theorem Fitting subgroup Generalized Fitting subgroup Hamiltonian group Identity element Lagrange's theorem Multiplicative inverse Normal subgroup Perfect
List_of_group_theory_topics
German mathematician
group theory. He proved Fitting's theorem and Fitting's lemma, and defined the Fitting subgroup in finite group theory and the Fitting decomposition for Lie
Hans_Fitting
Covering group
with the minimal normal soluble subgroups generates a subgroup called the generalized Fitting subgroup. The quasisimple groups are often studied alongside
Quasisimple_group
trivial subgroup. Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series
Subgroup_series
Any of certain special normal subgroups of a group
one of the definitions of the Fitting subgroup of a finite group. Similarly, the p′-core is the largest normal subgroup of G whose order is coprime to
Core_(group_theory)
Lattice whose elements are the subgroups of a given group
and products of subnormal subgroups. For any Fitting class F, both the subnormal F-subgroups and the normal F-subgroups form lattices. This generalizes
Lattice_of_subgroups
and is the generalization of the Fitting subgroup to groups without the ascending chain condition on normal subgroups. A locally nilpotent ring is one
Locally_nilpotent
Group theory method by Bender
involves studying a maximal subgroup M containing the centralizer of an involution, and its generalized Fitting subgroup F*(M). One succinct version of
Bender's_method
Branch of mathematics that studies algebraic structures
theory) Subgroup Coset Normal subgroup Characteristic subgroup Centralizer and normalizer subgroups Derived group Frattini subgroup Fitting subgroup Classification
List of abstract algebra topics
List_of_abstract_algebra_topics
subgroups can differ. The subgroup generated by the union of infinitely many normal nilpotent subgroups need not itself be nilpotent, so the Fitting subgroup
Hirsch–Plotkin_radical
GF(2)-type is a group with an involution centralizer whose generalized Fitting subgroup is a group of symplectic type (Gorenstein 1982, definition 1.45). As
Group_of_GF(2)-type
Type of subgroup in group theory
field of group theory, a subgroup of a group is said to be ascendant if there is an ascending series starting from the subgroup and ending at the group
Ascendant_subgroup
Abstract algebra subgroup
field of group theory, a subgroup of a group is said to be descendant if there is a descending series starting from the subgroup and ending at the group
Descendant_subgroup
Finite group in mathematics
definition C.1.7): L has no subgroup of index 2 The generalized Fitting subgroup F*(L) is a 2-group O2(L) The subgroup U = [O2(L), L] is an elementary
Aschbacher_block
series. A soluble A-group has a unique maximal abelian normal subgroup. The Fitting subgroup of a solvable A-group is equal to the direct product of the
A-group
Optimization algorithms using quantum computing
considerable speed up with respect to the best known classical algorithm. Data fitting is a process of constructing a mathematical function that best fits a set
Quantum optimization algorithms
Quantum_optimization_algorithms
Type of finite group
Op(G) contains its centralizer, or in other words if its generalized Fitting subgroup is a p-group. More generally, if Op′(G) is non-trivial, then G is called
P-constrained_group
Type of group
1960s theory of formations and Fitting classes, as well as the older 19th century and 1930s theory of Sylow subgroups has an analogue in the theory of
Locally_finite_group
Normal series of subgroups which indicate almost-commutativity
theory and Lie theory, a central series is a kind of normal series of subgroups or Lie subalgebras, expressing the idea that the commutator is nearly
Central_series
Ethnic group
under the Manobo ethnolinguistic group, the Matigsalug are a distinct subgroup from the Manobos. The Matigsalug previously practiced a hunting-and-gathering
Matigsalug
Literary device in Tolkien's fiction
Rosebury asserted, very tightly constructed, the expansiveness and plot fitting together exactly. In the second and third volumes of The Lord of the Rings
Narrative structure of The Lord of the Rings
Narrative_structure_of_The_Lord_of_the_Rings
Knot invariant
_{K}(t)=1} if and only if the commutator subgroup of the knot group is perfect (i.e. equal to its own commutator subgroup). For a topologically slice knot, the
Alexander_polynomial
In mathematics, a 3-step group is a special sort of group of Fitting length at most 3, that is used in the classification of CN groups and in the Feit–Thompson
3-step_group
Research measure of psychopathy
to treatment. Karpman's theory has helped researchers to identify two subgroups of those who display psychopathic traits. These were subsequently labelled
Levenson Self-Report Psychopathy Scale
Levenson_Self-Report_Psychopathy_Scale
Yoruba patterned hand-woven fabric
geometric patterns and cultural significance, particularly among the Ijebu subgroup. The term "Aso Olona" translates to "cloth with patterns" in the Yoruba
Aso_Olona
Statistical model
statistical model which includes some distinct variation for each of several subgroups of observations. It is an area-level model, meaning some input data are
Fay–Herriot_model
Correspondence between quaternions and 3D rotations
M_{\rm {R}}} must commute. This implies the existence of two commuting subgroups within the group of four-dimensional rotations. An arbitrary four-dimensional
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Envy and anxiety related to perceived penis size
penis syndrome" label, and reserves penile dysmorphic disorder for the subgroup whose preoccupation meets the diagnostic criteria for body dysmorphic disorder
Penis_size_envy
German mathematician (1882–1935)
reduced this to "Noether's problem", which asks whether the fixed field of a subgroup G of the permutation group Sn acting on the field k(x1, ..., xn) always
Emmy_Noether
Extinct paraphyletic class of fishes
"prepelvic" spines) between the pectoral and pelvic fins. The climatiiform subgroup Diplacanthida has subsequently been elevated to its own order, Diplacanthiformes
Acanthodii
Slang
the Betawi language. Indonesian is part of the Western Malayo-Polynesian subgroup of the Malayo-Polynesian branch of the Austronesian languages. According
Indonesian_slang
Extinct clade of dinosaurs
from their most recent common ancestor. The group is composed of two subgroups: Diplodocoidea and Macronaria. Arising in the early Jurassic and persisting
Neosauropoda
conjectures. Abhyankar's lemma Aubin–Lions lemma Bergman's diamond lemma Fitting lemma Injective test lemma Hua's lemma (exponential sums) Krull's separation
List_of_lemmas
Electrical equipment in places where fire or explosion hazards may exist
equipment is marked, for example, Ex e II T4 then it is suitable for all subgroups IIA, IIB and IIC A list must be drawn up of every explosive material that
Electrical equipment in hazardous areas
Electrical_equipment_in_hazardous_areas
Nigerian ethnic group
various clans, subgroups and languages: Ogbia subgroup: This subgroup is native to the Ogbia people of Bayelsa State. The Ogbia subgroup has four clans
Ijaw_people
Conservative political initiative in the United States
powers could be militarized under Project 2025. In 2024, a Project 2025 subgroup, the Border Security Workgroup, crafted plans for a new nationwide militarized
Project_2025
Magnorder of mammals
analysis concluded such conflicting phylogenies were a consequence of poorly fitting evolutionary models, and that the Atlantogenata hypothesis is the best
Atlantogenata
Computational technique
single-cell transcriptomics workflow is the clustering of cells into subgroups. Clustering can contend with this inherent variation by combining the
Trajectory_inference
of their own. They subsequently diverged into a Northern and Southern subgroup, c. 30,000 years ago. 'Central African hunter-gatherers' or 'Rain forest
Genetic_history_of_Africa
Ability to be regarded as having an identity one does not
have to be fulfilled for the analogy to hold and conclude that only a subgroup of autistic people experiences masking as passing. Individuals with visible
Passing_(sociology)
climate, social setting, and religious norms. For men, the jalabiya, a loose-fitting, ankle-length robe remains the most recognizable garment, often paired
Clothing_in_Sudan
Topics referred to by the same term
Swiss auto racing team G4, a type of bi-pin lamp base (socket), a lamp fitting where the pin spacing is 4mm LG G4 smartphone Moto G4, a line of smartphones
G4
Tabular arrangement of the chemical elements
Chistyakov, V. M. (1968). "Biron's Secondary Periodicity of the Side d-subgroups of Mendeleev's Short Table". Journal of General Chemistry of the USSR
Periodic_table
European Palaeolithic cultures are divided into several chronological subgroups (the names are all based on French type sites, principally in the Dordogne
Prehistory_of_France
1960s subculture
Pendergast 2005. Pendergast writes: "The Hippies made up the...nonpolitical subgroup of a larger group known as the counterculture...the counterculture included
Hippie
Romani traditional clothing
the Romani people. Romani dress can vary drastically among different subgroups. However, there are certain constant similarities that define Romani dress
Romani_dress
the leader and "the most powerful" of the crossroad demons, a special subgroup of demons in Supernatural who fulfill the traditional concept of a "deal
List of Supernatural and The Winchesters characters
List_of_Supernatural_and_The_Winchesters_characters
Cruiser of the Royal Navy
HMS Diadem was a Dido-class light cruiser of the Bellona subgroup of the Royal Navy. She was a modified Dido design with only four turrets but improved
HMS_Diadem_(84)
Superfamily of crustaceans (Paguroidea)
crab, most of which possess an asymmetric abdomen concealed by a snug-fitting shell. Hermit crabs' soft (non-calcified) abdominal exoskeleton means they
Hermit_crab
Mortal Kombat character
Raiden's chosen warriors to help save Earthrealm; preparing for battle by fitting his arms with metallic bionic implants. After helping foil Shao Kahn's
Jax_(Mortal_Kombat)
Genus of flowering plants in the daisy family Asteraceae
five subgroups (A to E) from Giant to Miniature, and Group 6 into two subgroups, Small and Miniature. Dahlias were then described by Group and Subgroup, e
Dahlia
Speakers of Austronesian languages
also proposed that Kra-Dai speakers may actually be an ancient daughter subgroup of Austronesians that migrated back to the Pearl River Delta from Taiwan
Austronesian_peoples
Archaeological site in Michigan, United States
recognized Upper Mississippian cultures: Berrien ware subgroups 1, 2 and 3 - The first 3 subgroups have been equated with Huber ware, and are differentiated
Moccasin_Bluff_site
Violent tactic resulting in the attacker's intentional death
the Royal Navy carriers diminished kamikaze effectiveness. Along with fitting existing aircraft with bombs, the Japanese also developed the Ohka, a purpose-built
Suicide_attack
American reality singing competition television series
the contestants are initially divided and only compete in a designated subgroup. A "Golden Ear" trophy awarded to the panelist with the most correct first
The Masked Singer (American TV series)
The_Masked_Singer_(American_TV_series)
- Transformers Wiki". tfwiki.net. Retrieved October 24, 2024. "Clone (subgroup) - Transformers Wiki". tfwiki.net. Retrieved October 2, 2024. "Cloudraker
List of The Transformers characters
List_of_The_Transformers_characters
Jewish community associated with modern-day Ethiopia
Jewish schisms Jews of Bilad el-Sudan Jews of color Qemant people, a small subgroup of the Agaw people from Ethiopia, whose members traditionally practiced
Beta_Israel
replacement, and their genomes help to illuminate the relationships among major subgroups of Native American populations. Notably, all ancient individuals in the
Indigenous peoples of the Americas
Indigenous_peoples_of_the_Americas
European wide-body airliner
"Operational Evaluation Board Report Airbus A380-800 Report of the FCL/OPS Subgroup Report, Revision 1 18 July 2011" (PDF). 18 July 2011. Archived (PDF) from
Airbus_A380
Short skirt that usually extends to mid-thigh
cultures where women regularly wore clothing resembling miniskirts was a subgroup of the Miao people of China, the duanqun Miao (Chinese: 短裙苗; pinyin: duǎnqún
Miniskirt
Statistical model for a binary dependent variable
have a closed-form expression, unlike linear least squares; see § Model fitting. Logistic regression by MLE plays a similarly basic role for binary or
Logistic_regression
Score from a test designed to assess intelligence
effect may have ended in some developed nations, whether there are social subgroup differences in the effect, and what possible causes of the effect might
Intelligence_quotient
Yoruba traditional clothing
of Yoruba women's clothing are: Iro ati Buba: This consists of a loose-fitting blouse that covers the upper body and a large wrapper that is wrapped around
Yoruba_clothing
Fictional universe created by Iain M. Banks
easily move to a more congenial Culture population centre (or Culture subgroup), and hence there is little need to enforce codes of behaviour. Even the
The_Culture
various linguistic variations of these names. There are also numerous subgroups and clans with their own self-designations, such as the Sinti, Kalderash
Names_of_the_Romani_people
Lake in Africa
size, and finally a subgroup of "aberrant" species that essentially are defined by them not fitting clearly into the other subgroups. Adult male haps generally
Lake_Malawi
Ethnolinguistic group
Osco-Umbrians and Latino-Faliscans, speakers of the Italic languages, a subgroup of the Indo-European language family. In a broader sense, commonly used
Italic_peoples
cyclic group of order 4, Z/4, is indecomposable but not simple – it has the subgroup 2Z/4 of order 2, but this does not have a complement. Over the integers
Indecomposable_module
Language family of Northern Eurasia
western Eurasia. ... typological properties are eastern-looking overall, fitting comfortably into northeast Asia, Siberia, or the North Pacific Rim". Uralic-speakers
Uralic_languages
Computer bus interface for storage devices
bodies: primarily INCITS T13 and an INCITS T10 subcommittee (SCSI), a subgroup of T10 responsible for Serial Attached SCSI (SAS). The remainder of this
SATA
Ethnic group in Southeast Asia
the things that might decorate the headdress. The headdresses differ by subgroup. According to an article about the variations in Akha headdress, "High
Akha_people
Voting system that makes outcomes proportional to vote totals
Proportional representation (PR) is achieved by any electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The
Proportional_representation
Chemical element with atomic number 80 (Hg)
PMID 34544063. Sicius, Hermann (2024), "Zinc Group: Elements of the Second Subgroup", Handbook of the Chemical Elements, Berlin, Heidelberg: Springer Berlin
Mercury_(element)
German mathematician (1920–2016)
published his theory of formations, giving a unified theory of Hall subgroups and Carter subgroups. Gaschütz's theory is important for understanding finite solvable
Wolfgang_Gaschütz
One of the two categories of Indigenous Australians
with a Eurasian split between Europeans and the group comprising two subgroups, East Asians, Indian and Andamanese on one hand, and Papuans and Australians
Aboriginal_Australians
Clothing traditions of West Bengal, India
traditional upper-body garment worn by men in Bengal. It is a long, loose-fitting shirt, typically reaching the knees, and is often made of cotton or silk
Bengali_traditional_dress
South Korean girl group
in Japan alongside American and Japanese hip hop artists. 2NE1 and the subgroup GD & TOP had been invited to play at the festival the previous year, but
2NE1
Quantum algorithm for solving systems of linear equations
many-body dynamics, or some problems in computational finance. Least-squares fitting Wiebe et al. gave a quantum algorithm to determine the quality of a least-squares
HHL_algorithm
Baltic ethnic group
historical divisions. There are some stereotypes used in jokes about these subgroups, for example, Sudovians are supposedly frugal while Samogitians are stubborn
Lithuanians
Military estate of East Slavic people
Cossacks and Pomory are accounted in the records as separate ethnic subgroups of Russians. Конгресс Казаков в Америке: Рассеяны но не расторгнуты. Kazaksusa
Cossacks
Tabletop war game
weakness. Delaque territory is even more dimly lit than the rest of the hive, fitting for a people who shrouded in mystery. From a player perspective, House
Necromunda
Topological space that locally resembles Euclidean space
examples of Lie groups include special groups of matrices, which are all subgroups of the general linear group, the group of n × n {\displaystyle n\times
Manifold
Selection of data points in statistics
the approach best suited (or most cost-effective) for each identified subgroup within the population. There are, however, some potential drawbacks to
Sampling_(statistics)
are the indigenous peoples of Taiwan, with the nationally recognized subgroups numbering about 600,303 or 3% of the country's population. This total
Taiwanese_indigenous_peoples
Demographic in the United States
Microdata Sample (PUMS) listed "Caucasian" or "Aryan" among other terms as subgroups of "white" in their ancestry code listing, but 2005 and proceeding years
White_Americans
Trials of Nazi German leaders
Party, the SS, the Gestapo, and the SD, although some lower ranks and subgroups were excluded. The verdict only allowed for individual criminal responsibility
Nuremberg_trials
Ship class built for the Royal Navy during the First World War
also fired 180 and 213 four-inch shells respectively. Courageous's mine fittings were removed after the battle and both ships received flying-off platforms
Courageous-class battlecruiser
Courageous-class_battlecruiser
American racial slur
black buck, Brutish Black Buck is divided into black brutes, with the two subgroups closely related. For Bogle, the black brutes are anonymous, animalistic
Black_Buck
General Psychology
that exist within our common experience. The pieces fit, and in their fitting we see the larger structure-in-a-context that is necessary for making claims
Behavior_settings
of the data by gender identity highlights distinct disparities among subgroups within the LGBTQ+ community. Cisgender youth, both boys/men and girls/women
Transgender rights in the United States
Transgender_rights_in_the_United_States
Late-Bronze Age culture in Italy
and Milazzo (Sicily). Based on certain shared characteristics, regional subgroups can be identified, such as the Chiusi–Cetona group, the Tolfa–Allumiere
Proto-Villanovan_culture
Prehistoric inhabitants in Japan
2024 found a wide range of Jōmon ancestry within different Japanese subgroups, ranging from 10–32%. According to a 2025 study, mainland Japanese derive
Jōmon_people
Classification type of a class of astronomical objects
The umbrella group of X-type asteroid can be further divided into three subgroups, depending on the degree of the object's reflectivity (dark, intermediate
Asteroid_spectral_types
unintentionally landed in their hideout where the cartel or at least a subgroup of them were arrested. In "Pigeons", they are revealed to have a member
List of We Bare Bears characters
List_of_We_Bare_Bears_characters
FITTING SUBGROUP
FITTING SUBGROUP
Boy/Male
Arabic, Australian, Muslim
Needed; Fitting; Compulsory
Boy/Male
Hindu, Indian
Fitting
Boy/Male
Muslim
Fasting
Surname or Lastname
English
English : variant of Whiting.
Girl/Female
Biblical
Sitting together.
Surname or Lastname
English
English : patronymic from Bott.
Girl/Female
Arabic
Fasting
Biblical
sitting together
Surname or Lastname
English (chiefly Lancashire)
English (chiefly Lancashire) : nickname from Middle English fitten ‘lying’, ‘deceit’ (of unknown origin).English (chiefly Lancashire) : possibly a habitational name from Fitton Hall in Cambridgeshire, named in Anglo-Scandinavian as ‘settlement (Old English tūn) on the fit (Old Norse fit)’, a term denoting grassland on the bank of a river.
Surname or Lastname
English
English : patronymic from White.North German : habitational name from a place named Wittingen, near Braunschweig.North German : patronymic from Witt 1.
Girl/Female
Muslim
Fasting
Girl/Female
Arabic
Clever; Smart
Boy/Male
Arabic
Fasting
Surname or Lastname
English
English : patronymic from Nutt.
Girl/Female
Muslim
Fasting
Boy/Male
Indian, Sanskrit
Thinker; Wise
Surname or Lastname
English
English : patronymic from a short form of the personal name Cudbert (see Cuthbert).Americanized spelling of German Kötting or the variant Kotting (see Koetting).
Girl/Female
Arabic, Muslim, Sindhi
Fasting
Boy/Male
African
cutting'.
Girl/Female
Arabic
Fasting
FITTING SUBGROUP
FITTING SUBGROUP
Boy/Male
Scottish
Rich protector.
Female
Native American
Native American Navajo name NASCHA means "owl."
Boy/Male
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Mythological, Sanskrit, Tamil, Telugu, Traditional
Decoration
Boy/Male
Indian, Punjabi, Sikh
Power of the Lord
Boy/Male
Indian
Moon.
Girl/Female
Hindu
Girl/Female
Indian
Sunlight Away from Darkness
Female
Swiss
, Susanne-Catherine.
Surname or Lastname
English
English : apparently a habitational name from a lost or unidentified place. Only two bearers of the surname, both female, were recorded in the 1881 British Census, and it now appears to be extinct in the British Isles. In the U.S. it is concentrated in NC, where it is common, and also in TN.
Boy/Male
Hindu
Ones own
FITTING SUBGROUP
FITTING SUBGROUP
FITTING SUBGROUP
FITTING SUBGROUP
FITTING SUBGROUP
a.
Adapted for forming a screw by cutting; as, a screw-cutting lathe.
a.
Severe; sarcastic; biting; as, a cutting reply.
n.
The act or time of sitting, as to a portrait painter, photographer, etc.
a.
Adapted to cut; as, a cutting tool.
n.
Pertaining to fishing; used in fishery; engaged in fishing; as, fishing boat; fishing tackle; fishing village.
n.
The result of a judicial examination or inquiry, especially into some matter of fact; a verdict; as, the finding of a jury.
n.
necessary fixtures or apparatus; as, the fittings of a church or study; gas fittings.
a.
Chilling; penetrating; sharp; as, a cutting wind.
a.
Fit; appropriate; suitable; proper.
p. pr. & vb. n.
of Fit
n.
The act of finding fault or blaming; -- used derogatively. Also Adj.
n.
Anything used in fitting up
n.
Decoration by means of flutes or channels; a flute, or flutes collectively; as, the fluting of a column or pilaster; the fluting of a lady's ruffle.
n.
Cotton in sheets, prepared for use in making quilts, etc.; as, cotton batting.
a.
Occupied in war; being the scene of a battle; as, a fighting field.
n.
The actual presence or meeting of any body of men in their seats, clothed with authority to transact business; a session; as, a sitting of the judges of the King's Bench, or of a commission.
n.
The act of putting a foot to anything; also, that which is added as a foot; as, the footing of a stocking.
a.
Suitable; proper; becoming; fitting.