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- Strongly_embedded_subgroup abstract "In finite group theory, an area of abstract algebra, a strongly embedded subgroup of a finite group G is a proper subgroup H of even order such that H ∩ Hg has odd order whenever g is not in H. The Bender–Suzuki theorem, proved by Bender (1971) extending work of Suzuki (1962, 1964), classifies the groups G with a strongly embedded subgroup H. It states that that either G has cyclic or generalized quaternion Sylow 2-subgroups and H contains the centralizer of an involution or G/O(G) has a normal subgroup of odd index isomorphic to one of the simple groups PSL2(q), Sz(q) or PSU3(q) where q≥4 is a power of 2 and H is O(G)NG(S) for some Sylow 2-subgroup S.Peterfalvi (2000, part II) revised Suzuki's part of the proof. Aschbacher (1974) extended Bender's classification to groups with a proper 2-generated core.".
- Strongly_embedded_subgroup wikiPageExternalLink books?isbn=052164660X.
- Strongly_embedded_subgroup wikiPageID "29523845".
- Strongly_embedded_subgroup wikiPageRevisionID "590060897".
- Strongly_embedded_subgroup hasPhotoCollection Strongly_embedded_subgroup.
- Strongly_embedded_subgroup subject Category:Finite_groups.
- Strongly_embedded_subgroup type Abstraction100002137.
- Strongly_embedded_subgroup type FiniteGroups.
- Strongly_embedded_subgroup type Group100031264.
- Strongly_embedded_subgroup comment "In finite group theory, an area of abstract algebra, a strongly embedded subgroup of a finite group G is a proper subgroup H of even order such that H ∩ Hg has odd order whenever g is not in H. The Bender–Suzuki theorem, proved by Bender (1971) extending work of Suzuki (1962, 1964), classifies the groups G with a strongly embedded subgroup H.".
- Strongly_embedded_subgroup label "Strongly embedded subgroup".
- Strongly_embedded_subgroup sameAs m.0dsf83g.
- Strongly_embedded_subgroup sameAs Q7624680.
- Strongly_embedded_subgroup sameAs Q7624680.
- Strongly_embedded_subgroup sameAs Strongly_embedded_subgroup.
- Strongly_embedded_subgroup wasDerivedFrom Strongly_embedded_subgroup?oldid=590060897.
- Strongly_embedded_subgroup isPrimaryTopicOf Strongly_embedded_subgroup.