The Influence of the Number of Non-(sub)normal Non-abelian Subgroups on Solvability of Finite Groups

DOI10.1142/S100538671600033XzbMath1343.20029OpenAlexW2300434214MaRDI QIDQ2809254

Jiangtao Shi, Cui Zhang

Publication date: 27 May 2016

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

Full work available at URL: https://doi.org/10.1142/s100538671600033x

zbMATH Keywords

finite groupssolvabilitynumbers of subgroupsnon-normal subgroupsnon-Abelian subgroupsnon-subnormal subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite simple groups and their classification (20D05)

Cites Work

• Finite groups with few non-cyclic subgroups

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