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- Signalizer_functor abstract "In mathematics, a signalizer functor gives the intersections of a potential subgroup of a finite group with the centralizers of nontrivial elements of an abelian group. The signalizer functor theorem gives conditions under which a signalizer functor comes from a subgroup. The idea is to try to construct a -subgroup of a finite group , which has a good chance of being normal in , by taking as generators certain -subgroups of the centralizers of nonidentity elements in one or several given noncyclic elementary abelian -subgroups of The technique has origins in the Feit–Thompson theorem, and was subsequently developed by many people including Gorenstein (1969) who defined signalizer functors, Glauberman (1976) who proved the Solvable Signalizer Functor Theorem for solvable groups, and McBride (1982a, 1982b) who proved it for all groups. This theorem is needed to prove the so-called "dichotomy" stating that a given nonabelian finite simple group either has local characteristic two, or is of component type. It thus plays a major role in the classification of finite simple groups.".
- Signalizer_functor wikiPageExternalLink ssft.pdf.
- Signalizer_functor wikiPageID "28206366".
- Signalizer_functor wikiPageRevisionID "481590810".
- Signalizer_functor hasPhotoCollection Signalizer_functor.
- Signalizer_functor subject Category:Finite_groups.
- Signalizer_functor type Abstraction100002137.
- Signalizer_functor type FiniteGroups.
- Signalizer_functor type Group100031264.
- Signalizer_functor comment "In mathematics, a signalizer functor gives the intersections of a potential subgroup of a finite group with the centralizers of nontrivial elements of an abelian group. The signalizer functor theorem gives conditions under which a signalizer functor comes from a subgroup.".
- Signalizer_functor label "Signalizer functor".
- Signalizer_functor sameAs m.0cny7vh.
- Signalizer_functor sameAs Q7512773.
- Signalizer_functor sameAs Q7512773.
- Signalizer_functor sameAs Signalizer_functor.
- Signalizer_functor wasDerivedFrom Signalizer_functor?oldid=481590810.
- Signalizer_functor isPrimaryTopicOf Signalizer_functor.