Influence of permutizers of subgroups on the structure of finite groups.

DOI10.1016/j.jpaa.2008.03.004zbMath1156.20014OpenAlexW2022214627MaRDI QIDQ932301

Guohua Qian, ShouHong Qiao, Yan Ming Wang

Publication date: 10 July 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.03.004

zbMATH Keywords

finite groupsmaximal subgroupspermutabilitypermutizerssupersolubilitypermutizer condition

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) Maximal subgroups (20E28) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

On subpermuteral subgroups in finite groups ⋮ On permuteral subgroups in finite groups. ⋮ FINITE GROUPS WITH THE MAXIMAL PERMUTIZER CONDITION ⋮ ON THE -LENGTH AND THE WIELANDT LENGTH OF A FINITE -SOLUBLE GROUP

Cites Work

• A first course in group theory
• A characterization of the finite soluble groups
• On finite groups satisfying the permutizer condition
• Implications of Permutizers of Some Subgroups in Finite Groups
• Endliche Gruppen I
• On maximal subgroups of finite groups
• Unnamed Item

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