2-minimal subgroups of orthogonal groups

Chris Parker; Peter Rowley

doi:10.1016/j.jalgebra.2021.09.028

2-minimal subgroups of orthogonal groups

Chris Parker, Peter Rowley

Mathematics

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Abstract

For a finite group G, a subgroup P of G is 2-minimal if B < P, where B = N_G(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
Journal	Journal of Algebra
Early online date	29 Oct 2021
DOIs	https://doi.org/10.1016/j.jalgebra.2021.09.028
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

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AU - Rowley, Peter

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AB - 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.

KW - 2-minimal subgroups

KW - Orthogonal groups

KW - Simple groups

UR - http://www.journals.elsevier.com/journal-of-algebra/

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DO - 10.1016/j.jalgebra.2021.09.028

M3 - Article

SN - 0021-8693

JO - Journal of Algebra

JF - Journal of Algebra

ER -

2-minimal subgroups of orthogonal groups

Abstract

Keywords

ASJC Scopus subject areas

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