A pronormality criterion for supplements to abelian normal subgroups

DOI10.1134/S0081543817020134zbMath1371.20009OpenAlexW2611059735MaRDI QIDQ2362424

Danila Olegovitch Revin, Anatoli Kondrat'ev, Natal'ya Vladimirovna Maslova

Publication date: 7 July 2017

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

Full work available at URL: https://doi.org/10.1134/s0081543817020134

zbMATH Keywords

finite simple grouppronormal subgroupsubgroup of odd indexcomplement of a subgroupsupplement of a subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (7)

On the pronormality of subgroups of odd index in some direct products of finite groups ⋮ On the pronormality of subgroups of odd index in some extensions of finite groups ⋮ Unnamed Item ⋮ Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups ⋮ On the pronormality of second maximal subgroups in finite groups with socle \(L_2(q)\)

Cites Work

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• On the pronormality of subgroups of odd index in finite simple groups.
• Classification of maximal subgroups of odd index in finite simple classical groups.
• Pronormality of Hall subgroups in finite simple groups.
• Normalizers of the Sylow 2-subgroups in finite simple groups.

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