On the pronormality of subgroups of odd index in some extensions of finite groups

DOI10.1134/S0037446618040043zbMath1459.20021OpenAlexW2892281979MaRDI QIDQ1617977

Danila Olegovitch Revin, Wen-Bin Guo, Natal'ya Vladimirovna Maslova

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1134/s0037446618040043

zbMATH Keywords

symplectic groupfinite groupsimple groupdirect productwreath productpronormal subgroupSylow 2-subgroupself-normalizing subgroupsubgroup of odd index

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (6)

On the pronormality of subgroups of odd index in some direct products of finite groups ⋮ A note on pronormal \(p\)-subgroups 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 ⋮ Finite groups with some pronormal subgroups ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups

Cites Work

• On the pronormality of subgroups of odd index in finite simple groups.
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• Primitive permutation groups of odd degree, and an application to finite projective planes
• On finite groups of Lie type and odd characteristic
• Finite soluble groups
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• A pronormality criterion for supplements to abelian normal subgroups
• Solvability of groups of odd order
• On the pronormality of subgroups of odd index in finite simple symplectic groups
• Normalizers of the Sylow 2-subgroups in finite simple groups.
• The Sylow 2-subgroups of the finite classical groups
• The Primitive Permutation Groups of Odd Degree
• Overgroups of Sylow subgroups in sporadic groups
• 2-signalizers of finite groups
• 2-signalizers of finite groups
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