Reduction theorems for characteristic functors on finite \(p\)-groups and applications to \(p\)-nilpotence criteria.

zbMath1170.20011MaRDI QIDQ1001970

Paul Lescot

Publication date: 20 February 2009

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1227708832

zbMATH Keywords

finite \(p\)-groupsThompson subgroupcharacteristic functors

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• 2-factorization in finite groups
• A characteristic subgroup of \(\Sigma_ 4\)-free groups
• Factorizations of p-solvable groups
• Groups with p-length 1
• A Characteristic Subgroup of a p-Stable Group
• Normal \(p\)-complements for finite groups

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