On the pronormality of subgroups of odd index in finite simple symplectic groups

DOI10.1134/S0037446617030107zbMath1437.20007arXiv1610.01067OpenAlexW3103704802MaRDI QIDQ2400737

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

Publication date: 30 August 2017

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

Full work available at URL: https://arxiv.org/abs/1610.01067

zbMATH Keywords

symmetric groupsfinite simple groupspronormal subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) 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 ⋮ Locally finite simple groups whose non-Abelian subgroups are pronormal ⋮ Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal ⋮ On pronormal subgroups in finite simple groups ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups

Cites Work

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• On the pronormality of subgroups of odd index in finite simple groups.
• Generation of a finite group with Hall maximal subgroups by a pair of conjugate elements.
• Classification of maximal subgroups of odd index in finite simple classical groups.
• The set of orders of elements in a finite group
• Pronormality of Hall subgroups in finite simple groups.
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• The Sylow 2-subgroups of the finite classical groups
• Endliche Gruppen I

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