On the class of groups with pronormal Hall \(\pi\)-subgroups.

DOI10.1134/S0037446614030033zbMath1333.20021MaRDI QIDQ404707

Danila Olegovitch Revin, Wen-Bin Guo

Publication date: 4 September 2014

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

zbMATH Keywords

Fitting classessaturated formationsclass-theoretic closure operationsclasses of finite groupspronormal Hall subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subnormal subgroups of abstract finite groups (20D35)

Related Items

On pronormality and strong pronormality of Hall subgroups ⋮ Pronormality of Hall subgroups in their normal closure ⋮ Classification and properties of the \(\pi \)-submaximal subgroups in minimal nonsolvable groups ⋮ Equivalence of the existence of nonconjugate and nonisomorphic Hall \(\pi\)-subgroups ⋮ The existence of pronormal \(\pi\)-Hall subgroups in \(E_\pi\)-groups. ⋮ Pronormality and submaximal \(\mathfrak{X}\)-subgroups on finite groups

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