Some sufficient conditions on the number of non-Abelian subgroups of a finite group to be solvable.

DOI10.1007/s10114-011-9476-1zbMath1254.20023OpenAlexW1851339893WikidataQ126592918 ScholiaQ126592918MaRDI QIDQ546334

Jiangtao Shi, Cui Zhang

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9476-1

zbMATH Keywords

conjugacy classesfinite solvable groupsfinite groupssolvabilitynumbers of subgroupsAbelian maximal 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 (5)

Finite groups with some non-abelian subgroups of non-prime-power order ⋮ On the number of same order classes of non-abelian subgroups of a finite group ⋮ Finite groups with three nonabelian subgroups ⋮ On the commutative ring extensions with at most two non Prüfer intermediate rings ⋮ Finite groups with a unique non-abelian proper subgroup

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