Power and commutator structure of groups

DOI10.1017/S0004972700025478zbMath0396.20014OpenAlexW2123065239MaRDI QIDQ4179167

David Shield

Publication date: 1977

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700025478

zbMATH Keywords

Lower Central SeriesFinite \(p\)-GroupsFree Algebras on An Infinite Countable SetVarieties of AlgebrasWeight Functions

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Free algebras (08B20) Commutator calculus (20F12) Word problems (aspects of algebraic structures) (08A50)

Related Items (2)

Subvariety structures in certain product varieties of groups ⋮ Kp-series and varieties generated by wreath products of p-groups

Cites Work

• A Contribution to the Theory of Groups of Prime-Power Order
• Basic commutators
• Endliche Gruppen I

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