Finite groups containing many subgroups are solvable

DOI10.1006/JABR.1996.0042zbMath0854.20028OpenAlexW2082742182MaRDI QIDQ1911332

Avinoam Mann, Patrizia Longobardi, Mercede Maj, Marcel Herzog

Publication date: 25 June 1996

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0042

zbMATH Keywords

soluble groupsHall \(\{p,q\}\)-subgroupsHall \(\pi\)-structuresolubility of finite groups

Mathematics Subject Classification ID

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)

Related Items (2)

Hall subgroups and \(\pi\)-separable groups ⋮ Groups with a solvable subgroup of prime-power index

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