Lower bounds on conjugacy classes of non-nilpotent subgroups in a finite group

DOI10.1142/S0219498815500395zbMath1317.20038OpenAlexW1969324433MaRDI QIDQ5175439

Wei Meng, Jiakuan Lu

Publication date: 23 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498815500395

zbMATH Keywords

Hall subgroupsnumbers of conjugacy classesfinite groupsconjugacy classes of subgroupsfinite soluble groupsnon-nilpotent subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05)

Related Items (2)

Groups with few non-nilpotent subgroups ⋮ On finite groups with non-nilpotent subgroups.

Cites Work

• Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen
• On finite insoluble groups with nilpotent maximal subgroups
• Minimal nicht überauflösbare, endliche Gruppen
• Finite Groups with Given Quantitative Non-Nilpotent Subgroups
• Endliche Gruppen I

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