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Strongly embedded subgroup

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In finite group theory, a strongly embedded subgroup of a finite group G is a proper subgroup H of even order such that H∩H^g has odd order whenever g is not in H.

The groups with a strongly embedded subgroup were classified by Bender (1971).

References

Bender, Helmut (1971), "Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt festläβt", Journal of Algebra, 17: 527–554, doi:10.1016/0021-8693(71)90008-1, ISSN 0021-8693, MR 0288172

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Finite groups