Confirmation for Wielandt's conjecture.

DOI10.1016/j.jalgebra.2015.04.003zbMath1329.20018arXiv1407.2007OpenAlexW1996537607WikidataQ123132604 ScholiaQ123132604MaRDI QIDQ2343513

Danila Olegovitch Revin, Evgeny P. Vdovin, Wen-Bin Guo

Publication date: 6 May 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.2007

zbMATH Keywords

finite groupsfinite simple groupsnilpotent Hall subgroupsSylow theoremsconjugacy of Hall subgroups\(\mathcal D_\pi\)-groupscondition \(\mathcal D_\pi\)Wielandt conjecture

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05)

Related Items (6)

The reduction theorem for relatively maximal subgroups ⋮ Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups ⋮ On the heritability of the Sylow -theorem by subgroups ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups ⋮ Maximal and submaximal \(\mathfrak{X}\)-subgroups ⋮ A NOTE ON WIELANDT’S THEOREM

Cites Work

• Sylow numbers and nilpotent Hall subgroups.
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• On a relation between the Sylow and Baer-Suzuki theorems.
• The \(D_\pi\) property of finite groups in the case \(2\notin\pi\).
• Verstreute Untergruppen endlicher Gruppen
• Finite soluble groups
• Hall subgroups of order not divisible by 3
• On the Hall \(D_ \pi\)-property for finite groups
• Pronormality of Hall subgroups in finite simple groups.
• Odd order Hall subgroups of the classical linear groups
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• Zum Satz von Sylow. II
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• Zum Satz von Sylow
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• SYLOW PROPERTIES OF FINITE GROUPS
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