On pronormality and strong pronormality of Hall subgroups

DOI10.1134/S0037446617010165zbMath1367.20015MaRDI QIDQ2360269

M. N. Nesterov

Publication date: 30 June 2017

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

zbMATH Keywords

finite simple grouppronormal subgroupHall subgroupstrongly pronormal 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)

Related Items (4)

Pronormality of Hall subgroups in their normal closure ⋮ Equivalence of the existence of nonconjugate and nonisomorphic Hall \(\pi\)-subgroups ⋮ On the heritability of the Sylow -theorem by subgroups ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups

Cites Work

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• Finite soluble groups
• Pronormality of Hall subgroups in finite simple groups.
• Heritability of the property \(\mathcal D_\pi\) by overgroups of \(\pi\)-Hall subgroups in the case where \(2\in\pi\).
• Pronormality of Hall subgroups in almost simple groups.
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Theorems of Sylow type
• Theorems Like Sylow's
• On the Nagell-Ljunggren equation $(x^n - 1)/(x - 1) = y^q$
• Conjugacy of Odd order Hall Subgroups

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