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- Fitting_subgroup abstract "In mathematics, especially in the area of algebra known as 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, it represents the smallest subgroup which "controls" the structure of G when G is solvable. When G is not solvable, a similar role is played by the generalized Fitting subgroup F*, which is generated by the Fitting subgroup and the components of G. For an arbitrary (not necessarily finite) group G, the Fitting subgroup is defined to be the subgroup generated by the nilpotent normal subgroups of G. For infinite groups, the Fitting subgroup is not always nilpotent.The remainder of this article deals exclusively with finite groups.".
- Fitting_subgroup wikiPageID "1416042".
- Fitting_subgroup wikiPageLength "9152".
- Fitting_subgroup wikiPageOutDegree "38".
- Fitting_subgroup wikiPageRevisionID "563122349".
- Fitting_subgroup wikiPageWikiLink Abstract_algebra.
- Fitting_subgroup wikiPageWikiLink Automorphism.
- Fitting_subgroup wikiPageWikiLink Automorphism_group.
- Fitting_subgroup wikiPageWikiLink Benders_method.
- Fitting_subgroup wikiPageWikiLink Category:Finite_groups.
- Fitting_subgroup wikiPageWikiLink Category:Functional_subgroups.
- Fitting_subgroup wikiPageWikiLink Centralizer.
- Fitting_subgroup wikiPageWikiLink Centralizer_and_normalizer.
- Fitting_subgroup wikiPageWikiLink Characteristic_subgroup.
- Fitting_subgroup wikiPageWikiLink Chief_series.
- Fitting_subgroup wikiPageWikiLink Classification_of_finite_simple_groups.
- Fitting_subgroup wikiPageWikiLink Component_(group_theory).
- Fitting_subgroup wikiPageWikiLink Core_(group).
- Fitting_subgroup wikiPageWikiLink Cyclic_group.
- Fitting_subgroup wikiPageWikiLink Finite_group.
- Fitting_subgroup wikiPageWikiLink Fitting_length.
- Fitting_subgroup wikiPageWikiLink Fittings_theorem.
- Fitting_subgroup wikiPageWikiLink Group_(mathematics).
- Fitting_subgroup wikiPageWikiLink Group_action.
- Fitting_subgroup wikiPageWikiLink Group_extension.
- Fitting_subgroup wikiPageWikiLink Group_of_Lie_type.
- Fitting_subgroup wikiPageWikiLink Group_theory.
- Fitting_subgroup wikiPageWikiLink Hans_Fitting.
- Fitting_subgroup wikiPageWikiLink Local_analysis.
- Fitting_subgroup wikiPageWikiLink Mathematics.
- Fitting_subgroup wikiPageWikiLink Mathematische_Zeitschrift.
- Fitting_subgroup wikiPageWikiLink Nilpotent_group.
- Fitting_subgroup wikiPageWikiLink Normal_p-complement.
- Fitting_subgroup wikiPageWikiLink Normal_subgroup.
- Fitting_subgroup wikiPageWikiLink P-nilpotent.
- Fitting_subgroup wikiPageWikiLink Perfect_group.
- Fitting_subgroup wikiPageWikiLink Quasisimple_group.
- Fitting_subgroup wikiPageWikiLink Signalizer_functor.
- Fitting_subgroup wikiPageWikiLink Simple_group.
- Fitting_subgroup wikiPageWikiLink Solvable_group.
- Fitting_subgroup wikiPageWikiLink Springer-Verlag.
- Fitting_subgroup wikiPageWikiLink Springer_Science+Business_Media.
- Fitting_subgroup wikiPageWikiLink Subgroup.
- Fitting_subgroup wikiPageWikiLink Subnormal_subgroup.
- Fitting_subgroup wikiPageWikiLinkText "Fitting subgroup".
- Fitting_subgroup wikiPageWikiLinkText "Fitting subgroup#The generalized Fitting subgroup".
- Fitting_subgroup wikiPageWikiLinkText "layer".
- Fitting_subgroup hasPhotoCollection Fitting_subgroup.
- Fitting_subgroup wikiPageUsesTemplate Template:Citation.
- Fitting_subgroup wikiPageUsesTemplate Template:Harv.
- Fitting_subgroup subject Category:Finite_groups.
- Fitting_subgroup subject Category:Functional_subgroups.
- Fitting_subgroup hypernym Subgroup.
- Fitting_subgroup type EthnicGroup.
- Fitting_subgroup type Group.
- Fitting_subgroup type Group.
- Fitting_subgroup comment "In mathematics, especially in the area of algebra known as 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, it represents the smallest subgroup which "controls" the structure of G when G is solvable. When G is not solvable, a similar role is played by the generalized Fitting subgroup F*, which is generated by the Fitting subgroup and the components of G.".
- Fitting_subgroup label "Fitting subgroup".
- Fitting_subgroup sameAs Sous-groupe_de_Fitting.
- Fitting_subgroup sameAs m.04_qn5.
- Fitting_subgroup sameAs Q3492011.
- Fitting_subgroup sameAs Q3492011.
- Fitting_subgroup wasDerivedFrom Fitting_subgroup?oldid=563122349.
- Fitting_subgroup isPrimaryTopicOf Fitting_subgroup.