The class of a nilpotent wreath product

DOI10.1017/S000497270002548XzbMath0396.20015OpenAlexW2023659266MaRDI QIDQ4179168

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/s000497270002548x

zbMATH Keywords

Augmentation IdealLower Central SeriesWeight FunctionClass of a Nilpotent Wreath ProductCommutator P-Power SeriesFinite P-GroupsNilpotency Class of Finite P-Groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15) Quasivarieties and varieties of groups (20E10)

Related Items (6)

Subvariety structures in certain product varieties of groups ⋮ Space groups and groups of prime-power order. I ⋮ Kp-series and varieties generated by wreath products of p-groups ⋮ The nilpotency class of extensions of certain p-groups ⋮ Upper central series for elementary-abelian-over-cyclic regular wreath product p-groups ⋮ Applications of dimension subgroups to the power structure of \(p\)-groups

Cites Work

• A Contribution to the Theory of Groups of Prime-Power Order
• Varieties of groups
• Endliche Gruppen I
• Bounds on the Nilpotency Class of Certain Semidirect Products
• The Structure of the Group Ring of a p-Group Over a Modular Field

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