The Influence of Some Quantitative Properties of Abelian Subgroups on Solvability of Finite Groups

DOI10.1080/00927871003596206zbMath1235.20025OpenAlexW2058119304MaRDI QIDQ3113844

Cui Zhang, Jiangtao Shi

Publication date: 25 January 2012

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

Full work available at URL: https://doi.org/10.1080/00927871003596206

zbMATH Keywords

conjugacy classesfinite solvable groupsmaximal subgroupssolvabilityAbelian 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) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (2)

On the number of same order classes of non-abelian subgroups of a finite group ⋮ Finite Groups with Few Non-Abelian Subgroups

Cites Work

• On finite simple groups of order divisible by three primes only
• Normalteiler und maximale Untergruppen endlicher Gruppen

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