Pronormality of Hall subgroups in their normal closure

DOI10.1007/s10469-018-9467-8zbMath1452.20012OpenAlexW2792473789WikidataQ130195818 ScholiaQ130195818MaRDI QIDQ1644855

M. N. Nesterov, Evgeny P. Vdovin, Danila Olegovitch Revin

Publication date: 22 June 2018

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-018-9467-8

zbMATH Keywords

pronormal subgroupnormal closure\(\pi\)-Hall subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (2)

Equivalence of the existence of nonconjugate and nonisomorphic Hall \(\pi\)-subgroups ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups

Cites Work

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• Pronormality and strong pronormality of subgroups.
• On the pronormality of Hall subgroups.
• On the class of groups with pronormal Hall \(\pi\)-subgroups.
• The existence of pronormal \(\pi\)-Hall subgroups in \(E_\pi\)-groups.
• Pronormality of Hall subgroups in finite simple groups.
• Irreducible products of characters.
• On pronormality and strong pronormality of Hall subgroups
• Abnormality criteria for \(p\)-complements
• Pronormality of Hall subgroups in almost simple groups.
• Unsolved Problems in Group Theory. The Kourovka Notebook
• Theorems of Sylow type
• Conjugacy of Odd order Hall Subgroups
• Singer Groups

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