Alternate proofs of two classical theorems on finite solvable groups and some related results for p-groups

DOI10.3336/GM.45.2.10zbMATH Open1214.20020OpenAlexW2313230848MaRDI QIDQ3069656

Yakov Berkovich

Publication date: 19 January 2011

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3336/gm.45.2.10

zbMATH Keywords

finite solvable groupsHall subgroupsfinite \(p\)-groupsHall theoremsgroups of maximal classirregular 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) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Alternate proofs of some basic theorems of finite group theory ⋮ Another proof for the solvability of finite groups with at most two conjugacy classes of maximal subgroups

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