Dimension subgroups and \(p\)-th powers in \(p\)-groups.

DOI10.1007/BF02783415zbMath1046.20021OpenAlexW2034735584MaRDI QIDQ1425636

Lawrence E. Wilson

Publication date: 17 March 2004

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

Full work available at URL: https://doi.org/10.1007/bf02783415

zbMATH Keywords

finite \(p\)-groupscommutatorspowersdimension subgroups

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12)

Related Items (1)

Torsion elements in \(p\)-adic analytic pro-\(p\) groups.

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• Applications of dimension subgroups to the power structure of \(p\)-groups
• Characterization of \(p\)-adic analytic groups in terms of wreath products
• The power structure of \(p\)-groups. I
• Power closure and the Engel condition
• On the structure of normal subgroups of potent \(p\)-groups.
• The power-commutator structure of finite p-groups
• The power-commutator structure of certain finite p-groups
• On the power structure of powerful p-groups
• A Contribution to the Theory of Groups of Prime-Power Order

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