Finite Groups with Given Quantitative Non-Nilpotent Subgroups

DOI10.1080/00927872.2010.489083zbMath1276.20028OpenAlexW4244169388MaRDI QIDQ3103915

Cui Zhang, Jiangtao Shi

Publication date: 19 December 2011

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.489083

zbMATH Keywords

finite groupssolvabilitysolvable groupsnonsolvable groupsnumbers of non-nilpotent subgroupsconjugacy classes of non-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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Characterization of finite groups by the number of non-cyclic non-TI-subgroups ⋮ Lower bounds on conjugacy classes of non-nilpotent subgroups in a finite group ⋮ Finite Groups with Some Subgroups of Given Order ⋮ Finite Groups with Given Quantitative Non-Nilpotent Subgroups II

Cites Work

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• On a class of doubly transitive groups