Heritability of the property \(\mathcal D_\pi\) by overgroups of \(\pi\)-Hall subgroups in the case where \(2\in\pi\).

DOI10.1007/S10469-014-9268-7zbMath1315.20015OpenAlexW2040438702MaRDI QIDQ2342298

N. Ch. Manzaeva

Publication date: 11 May 2015

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

Full work available at URL: https://doi.org/10.1007/s10469-014-9268-7

zbMATH Keywords

Hall subgroupsfinite groupsmaximal subgroupsfinite simple groupsgroups of Lie type\(\mathcal D_\pi\)-groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20)

Related Items (4)

On pronormality and strong pronormality of Hall subgroups ⋮ The reduction theorem for relatively maximal 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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• On the pronormality of Hall subgroups.
• Classification of maximal subgroups of odd index in finite simple classical groups.
• On finite groups of Lie type and odd characteristic
• On the Hall \(D_ \pi\)-property for finite groups
• Pronormality of Hall subgroups in finite simple groups.
• Theorems of Sylow type
• Theorems Like Sylow's
• The {ie210-01}-property in finite simple groups
• The Primitive Permutation Groups of Odd Degree

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