2-minimal subgroups of orthogonal groups

Chris Parker, Peter Rowley

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Abstract

For a finite group G, a subgroup P of G is 2-minimal if B < P, where B = NG(S) for some Sylow 2-subgroup S of G, and B is contained in a unique maximal subgroup of P. For fields of odd characteristic, this paper contains a detailed and explicit description of all the 2-minimal subgroups of the finite general orthogonal groups, and certain of their subgroups.  
Original languageEnglish
JournalJournal of Algebra
Early online date29 Oct 2021
DOIs
Publication statusE-pub ahead of print - 29 Oct 2021

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