Finite \(p\)-groups all of whose maximal Abelian subgroups are soft.

DOI10.1007/S11425-010-4083-7zbMath1216.20013OpenAlexW2049115808MaRDI QIDQ625924

Hai Peng Qu

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4083-7

zbMATH Keywords

finite \(p\)-groups\(p\)-groups of maximal classautomizersmaximal Abelian subgroupssoft subgroups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

On finite 2-equilibrated \(p\)-groups

Cites Work

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• Finite groups with large automizers for their nonabelian subgroups
• Quasi-NC groups
• Finite groups with small automizers of their nonabelian subgroups
• Finite 2-Groups with Large Centralisers of Abelian Subgroups
• A Group-Theoretic Proof of a Theorem of MacLagan-Wedderburn
• The structure of NC-groups

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