Analytic pro-\(p\) groups and their graded group rings

DOI10.1016/0022-4049(93)90137-IzbMath0810.20021MaRDI QIDQ1313816

David M. Riley

Publication date: 17 April 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

lower central seriespolynomial identitypowerful groupsaugmentation idealbounded rankdimension subgrouppowerful open subgroupfinitely generated pro-\(p\) groupgraded group ring

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Graded rings and modules (associative rings and algebras) (16W50) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18) Identities other than those of matrices over commutative rings (16R40)

Related Items

Completion of restricted Lie algebras, On groups satisfying a positive law in fixed points., Power closure and the Engel condition, Exponent of a finite group admitting a coprime automorphism, Groups with a positive law on commutators., Infinitesimally PI radical algebras, Positive laws in fixed points

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• Powerful \(p\)-groups. II: \(p\)-adic analytic groups
• Enveloping algebras satisfying a polynomial identity
• Identities in the enveloping algebras for modular Lie superalgebras
• Completion of restricted Lie algebras
• \(p\)-adic analytic groups
• On the associated graded ring of a group ring
• Polynomial Identities in Graded Group Rings, Restricted Lie Algebras and p-Adic Analytic Groups
• Sur les groupes nilpotents et les anneaux de Lie
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