Influence of certain permutable subgroups on finite smooth groups.

DOI10.1007/s10114-011-9047-5zbMath1306.20017OpenAlexW2057198826MaRDI QIDQ475765

A. A. Heliel, A. M. El-Kholy

Publication date: 27 November 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9047-5

zbMATH Keywords

finite groupsmaximal subgroupsmaximal chains of subgroupssubgroup latticespermutable subgroupsgeneralized smooth groupslengths of intervalstotally smooth groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Subgroup lattices of groups
• On generalized smooth groups
• On totally smooth groups
• Smooth groups
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