On pronormal subgroups in finite simple groups

DOI10.1134/S1064562418060029zbMath1418.20006OpenAlexW2900245940MaRDI QIDQ1709840

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

Publication date: 15 January 2019

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418060029

zbMATH Keywords

Sylow \(p\)-subgroupsparanormal subgroups

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 (3)

On the pronormality of subgroups of odd index in some direct products of finite groups ⋮ Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal ⋮ Unnamed Item

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
• Pronormality of Hall subgroups in finite simple groups.
• Isomorphism problem for relational structures with a cyclic automorphism
• On the pronormality of subgroups of odd index in finite simple symplectic groups
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• The Primitive Permutation Groups of Odd Degree
• Self-normalizing Sylow subgroups
• Pronormality in Finite Groups

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