On the \(\pi'\)-properties of a finite group possessing a Hall \(\pi\)-subgroup.

DOI10.1134/S0037446611020066zbMath1256.20013OpenAlexW2039020404MaRDI QIDQ546213

Victor S. Monakhov, Viktoryia N. Kniahina

Publication date: 24 June 2011

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

Full work available at URL: https://doi.org/10.1134/s0037446611020066

zbMATH Keywords

Hall subgroupsfinite groupsSylow subgroupscommuting subgroupsminimal nonnilpotent subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Products of subgroups of abstract finite groups (20D40)

Related Items

On \(C\)-\({\mathcal{H}} \)-permutable subgroups of finite groups ⋮ Finite groups with weakly \(\sigma\)-permutable subgroups ⋮ On a theorem of Ito and Szép ⋮ On \(\tau_\sigma\)-quasinormal subgroups of finite groups ⋮ Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups ⋮ Finite groups with permutable Hall subgroups ⋮ Characterizations of finite groups with σ-semiembedded subgroups ⋮ A Robinson description of finite \(P\sigma T\)-groups ⋮ Finite groups with given systems of σ-semipermutable subgroups ⋮ Finite groups with \(H_{\mathcal{L}}\)-embedded subgroups ⋮ A characterization of finite \(\sigma\)-soluble \(P \sigma T\)-groups ⋮ On Hall subgroups of a finite group. ⋮ Finite σ-soluble groups in which σ-permutability is a transitive relation ⋮ A new characterization of finite \(\sigma \)-soluble \(P\sigma T \)-groups ⋮ Gradewise properties of subgroups of finite groups. ⋮ On \(m\)-\(\sigma\)-embedded subgroups of finite groups ⋮ Groups with only {\(\sigma\)}-semipermutable and {\(\sigma\)}-abnormal subgroups ⋮ On weakly m-σ-permutable subgroups of finite groups ⋮ On the lattice of all \(\mathcal{H} \)-permutable subgroups of a finite group ⋮ Onσ-conditionally permutable subgroups of finite groups ⋮ Unnamed Item ⋮ On \(\sigma\)-embedded and \(\sigma\)-\(n\)-embedded subgroups of finite groups ⋮ On \(S\)-propermutable subgroups of finite groups. ⋮ Gradewise Properties of Subgroups and Their Applications ⋮ On weakly σ-semipermutable subgroups of finite groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some solvability criteria for finite groups
• On seminormal subgroups
• Finite groups with a given set of Shmidt subgroups
• \(X\)-semipermutable subgroups of finite groups.
• Schur–Zassenhaus Theorem for X-Permutable Subgroups
• Finite groups with seminormal Schmidt subgroups
• Conjugacy of Odd order Hall Subgroups