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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 wikiPageRevisionID "563122349".
- Fitting_subgroup hasPhotoCollection Fitting_subgroup.
- Fitting_subgroup subject Category:Finite_groups.
- Fitting_subgroup subject Category:Functional_subgroups.
- Fitting_subgroup type Abstraction100002137.
- Fitting_subgroup type FiniteGroups.
- Fitting_subgroup type FunctionalSubgroups.
- Fitting_subgroup type Group100031264.
- Fitting_subgroup type Subgroup108001083.
- 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 label "Sous-groupe de Fitting".
- Fitting_subgroup sameAs Sous-groupe_de_Fitting.
- Fitting_subgroup sameAs m.04_qn5.
- Fitting_subgroup sameAs Q3492011.
- Fitting_subgroup sameAs Q3492011.
- Fitting_subgroup sameAs Fitting_subgroup.
- Fitting_subgroup wasDerivedFrom Fitting_subgroup?oldid=563122349.
- Fitting_subgroup isPrimaryTopicOf Fitting_subgroup.