Submaximal soluble subgroups of odd index in alternating groups

DOI10.1134/S0037446621020105zbMath1506.20030OpenAlexW3139665432MaRDI QIDQ2661746

Danila Olegovitch Revin

Publication date: 8 April 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446621020105

zbMATH Keywords

symmetric groupalternating groupsoluble groupsubgroup of odd indexcomplete class of finite groupsmaximal soluble groupsubmaximal soluble group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Simple groups: alternating groups and groups of Lie type (20D06) Symmetric groups (20B30)

Related Items (2)

Examples of nonpronormal relatively maximal subgroups of finite simple groups ⋮ Relatively maximal subgroups of odd index in symmetric groups

Cites Work

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• Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups
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• Maximal and submaximal \(\mathfrak{X}\)-subgroups
• Maximal solvable subgroups of odd index in symmetric groups
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• The Sylow 2-subgroups of the finite classical groups
• The Finite Simple Groups
• The Primitive Permutation Groups of Odd Degree
• Hall subgroups of the symmetric groups

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