On two questions of L. A. Shemetkov concerning hypercyclically embedded subgroups of finite groups

DOI10.1515/JGT.2010.027zbMath1205.20027OpenAlexW2016196531MaRDI QIDQ3068138

Alexander N. Skiba

Publication date: 13 January 2011

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.027

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupsformationsquasinormal subgroupschief factorssupplemented 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) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items

On \(C\)-\({\mathcal{H}} \)-permutable subgroups of finite groups ⋮ The influence of weakly pronormal subgroups on the structure of finite groups ⋮ A Note on the Results of Asaad ⋮ On \(\mathcal F\Phi^*\)-hypercentral subgroups of finite groups. ⋮ Finite groups with weakly \(\sigma\)-permutable subgroups ⋮ The finite groups with IC-property of subgroups ⋮ On an open problem of Guo-Skiba ⋮ On weakly \(S\Phi\)-supplemented subgroups of finite groups ⋮ A \(U_m\)-subnormal subgroup of a finite group ⋮ Finite groups with \textit{SS}-supplement ⋮ On \(w\)-\(s\)-permutable subgroups of a finite group ⋮ \(S\Phi\)-supplemented subgroups of finite groups. ⋮ A generalized CAP-subgroup of a finite group. ⋮ Finite groups with system of \(SE\)-supplemented subgroups. ⋮ On finite groups with given ICΦ-subgroups ⋮ On partial CAP∗-subgroups of finite groups ⋮ The influence of weakly \(\sigma \)-permutably embedded subgroups on the structure of finite groups ⋮ The \(IC\)-property of primary subgroups ⋮ \(\mathfrak{F}_{\tau}\)-embedded and \(\mathfrak{F}_{\tau\phi}\)-embedded subgroups of finite groups ⋮ Finite groups with someσ-primary subgroupssσ-quasinormal ⋮ On finite groups with some primary subgroups satisfying partialS-Π-property ⋮ On P_𝔉-Supplemented subgroups of finite groups ⋮ Onm-S-supplemented subgroups of finite groups ⋮ A note on \(S\varphi\)-supplemented subgroups ⋮ OnSQ-Supplemented Subgroups of Finite Groups ⋮ Finite groups with given weakly $\tau_{\sigma}$-quasinormal subgroups ⋮ Finite groups with given nearly SΦ-embedded subgroups ⋮ On one generalization of modular subgroups ⋮ On \(ss\)-quasinormal and weakly \(s\)-supplemented subgroups of finite groups. ⋮ Finite groups with \(S\)-supplemented \(p\)-subgroups. ⋮ On weakly m-σ-permutable subgroups of finite groups ⋮ ON E-SUPPLEMENTED SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS ⋮ On generalized m-S-permutable subgroups of a finite group ⋮ On Π-Supplemented Subgroups of a Finite Group ⋮ Finite groups with some \(\mathfrak F\)-supplemented subgroups. II. ⋮ Onsse-embedded subgroups of finite groups ⋮ On $\sigma$-permutably embedded subgroups of finite groups ⋮ Onσ-conditionally permutable subgroups of finite groups ⋮ Finite groups with weakly m-σ-permutable subgroups ⋮ Unnamed Item ⋮ Finite groups with given systems of \(m\)-\(S\)-complemented subgroups ⋮ On \(\sigma\)-embedded and \(\sigma\)-\(n\)-embedded subgroups of finite groups ⋮ On boundary factors and traces of subgroups of finite groups. ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups.

Cites Work

• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• Two sufficient conditions for supersolvability of finite groups
• Subgroups permutable with all Sylow subgroups
• On minimal subgroups of finite groups
• Finite groups with some \(c\)-normal minimal subgroups
• \(C\)-normality of groups and its properties
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• Minimal nicht überauflösbare, endliche Gruppen
• Finite groups whose minimal subgroups are normal
• Normalteiler und maximale Untergruppen endlicher Gruppen
• ON c-NORMAL MAXIMAL AND MINIMAL SUBGROUPS OF SYLOW SUBGROUPS OF FINITE GROUPS
• A generalisation of Kramer's theorem and its applications
• On Finite Quasi-ℱ-Groups
• On maximal subgroups of Sylow subgroups of inite groups
• Onc-Normal Maximal and Minimal Subgroups of Sylow Subgroups of Finite Groups. II
• C-Supplemented subgroups of finite groups
• The influence of minimal subgroups on the structure of a finite group
• On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups
• On weakly \(s\)-permutable subgroups of finite groups.