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 language | English |
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Journal | Journal of Algebra |
Early online date | 29 Oct 2021 |
DOIs | |
Publication status | E-pub ahead of print - 29 Oct 2021 |
Keywords
- 2-minimal subgroups
- Orthogonal groups
- Simple groups
ASJC Scopus subject areas
- Algebra and Number Theory