The \(p\)-coclass of a group

DOI10.1006/jabr.1993.1258zbMath0836.20030OpenAlexW2090579724MaRDI QIDQ1320205

Wilhelm Plesken, Derek F. Holt

Publication date: 16 April 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1258

zbMATH Keywords

lower central seriesfinite \(p\)-group\(p\)-adic space group\(p\)-coclass\(p\)-groups of small coclassextensions of \(p\)-groupsmaximal normal pro-\(p\)-subgroupnormal pro-\(p\)-subgroup of finite indexvirtual pro-\(p\)-group

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Extensions, wreath products, and other compositions of groups (20E22) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18)

Related Items (2)

The construction of finite solvable groups revisited. ⋮ The structure of finite \(p\)-groups: Effective proof of the coclass conjectures

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