On finite groups with non-nilpotent subgroups.

DOI10.1007/S00605-014-0712-5zbMath1334.20023OpenAlexW2002741232MaRDI QIDQ907035

Wei Meng, Jiakuan Lu

Publication date: 1 February 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0712-5

zbMATH Keywords

numbers of conjugacy classesfinite groupssolvabilitysolvable groupsnon-normal subgroupsfinite non-solvable 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05)

Related Items (2)

A new criterion for solvability of a finite group by the sum of orders of non-normal subgroups ⋮ Orbits of maximal invariant subgroups and solvability of finite groups

Cites Work

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• Finite groups with non-nilpotent maximal subgroups.
• Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen
• On finite insoluble groups with nilpotent maximal subgroups
• Finite Groups with Given Quantitative Non-Nilpotent Subgroups II
• Lower bounds on conjugacy classes of non-nilpotent subgroups in a finite group
• The Influence on a Finite Group of Its Proper Abnormal Structure
• Endliche Gruppen I

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