Classification of maximal subgroups of odd index in finite groups with alternating socle.

DOI10.1134/S0081543814050149zbMath1304.20033MaRDI QIDQ471006

Natal'ya Vladimirovna Maslova

Publication date: 13 November 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

alternating groupssoclesalmost simple groupsmaximal subgroups of odd index

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Simple groups: alternating groups and groups of Lie type (20D06) Subgroups of symmetric groups (20B35)

Related Items (8)

On the pronormality of subgroups of odd index in some extensions of finite groups ⋮ Classification of maximal subgroups of odd index in finite simple classical groups: addendum ⋮ Submaximal soluble subgroups of odd index in alternating groups ⋮ Maximal solvable subgroups of odd index in symmetric groups ⋮ Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups ⋮ Relatively maximal subgroups of odd index in symmetric groups

Cites Work

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• Classification of maximal subgroups of odd index in finite simple classical groups.
• Primitive permutation groups of odd degree, and an application to finite projective planes
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• The Primitive Permutation Groups of Odd Degree

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