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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...9 KB (1,318 words) - 01:46, 6 September 2022
- form a subgroup called the torsion subgroup. Cartan subgroup Fitting subgroup Fixed-point subgroup Fully normalized subgroup Stable subgroup Gallian...20 KB (1,637 words) - 10:11, 11 August 2024
- 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...44 KB (3,945 words) - 16:20, 28 July 2024
- a p ⟩ {\displaystyle \Phi (G)=\left\langle a^{p}\right\rangle } . Fitting subgroup Frattini's argument Socle Frattini, Giovanni (1885). "Intorno alla...4 KB (476 words) - 23:08, 30 July 2024
- with the minimal normal soluble subgroups generates a subgroup called the generalized Fitting subgroup. The quasisimple groups are often studied alongside...2 KB (296 words) - 23:43, 12 August 2023
- Frobenius group. The subgroup of a Zassenhaus group fixing a point is a Frobenius group. Frobenius groups whose Fitting subgroup has arbitrarily large...9 KB (1,272 words) - 04:50, 12 August 2024
- trivial subgroup. Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series...9 KB (1,346 words) - 11:31, 12 September 2021
- theorem Fitting subgroup Generalized Fitting subgroup Hamiltonian group Identity element Lagrange's theorem Multiplicative inverse Normal subgroup Perfect...10 KB (800 words) - 20:17, 10 January 2024
- 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...6 KB (762 words) - 07:22, 20 June 2021
- and products of subnormal subgroups. For any Fitting class F, both the subnormal F-subgroups and the normal F-subgroups form lattices. This generalizes...10 KB (1,056 words) - 22:09, 24 December 2023
- 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...2 KB (206 words) - 02:34, 24 January 2024
- Core (group theory) (redirect from Core-free subgroup)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...8 KB (1,149 words) - 23:28, 30 December 2023
- theory) Subgroup Coset Normal subgroup Characteristic subgroup Centralizer and normalizer subgroups Derived group Frattini subgroup Fitting subgroup Classification...12 KB (1,128 words) - 01:18, 14 November 2023
- 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...1 KB (134 words) - 09:59, 28 December 2021
- Hirsch–Plotkin radical (category Functional subgroups)subgroups can differ. The subgroup generated by the union of infinitely many normal nilpotent subgroups need not itself be nilpotent, so the Fitting subgroup...3 KB (370 words) - 06:26, 13 May 2024
- 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...1 KB (160 words) - 19:53, 25 October 2023
- 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...760 bytes (90 words) - 23:38, 12 August 2023
- and is the generalization of the Fitting subgroup to groups without the ascending chain condition on normal subgroups. A locally nilpotent ring is one...1 KB (145 words) - 23:25, 5 January 2024
- 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...3 KB (358 words) - 23:37, 12 August 2023
- involves studying a maximal subgroup M containing the centralizer of an involution, and its generalized Fitting subgroup F*(M). One succinct version of...4 KB (392 words) - 16:10, 12 August 2023
- Wikipedia has an article on: Fitting subgroup Wikipedia Named after Hans Fitting. Fitting subgroup (plural Fitting subgroups) (mathematics) For a finite
- All three diagnostic subgroups had evidence of decreased bone density, worst in the EDNOS subgroup and least in the BN subgroup. The most affected site
- white micas and their thin, foliated, schistose character. As a special subgroup we have the andalusite-, staurolite- kvanite- and sillimanite-schists,
- H} . Definition of a Subgroup Subgroup Inherits Identity Intersection of Subgroups is a Subgroup Definition of a Coset a Subgroup and its Cosets have Equal