The structure of finite \(p\)-groups: Effective proof of the coclass conjectures

DOI10.1007/BF01231763zbMath0795.20009OpenAlexW2085522287WikidataQ59541317 ScholiaQ59541317MaRDI QIDQ1319407

Aner Shalev

Publication date: 8 September 1994

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144172

zbMATH Keywords

nilpotency classpro-\(p\) groupsderived lengthsmodular Lie algebraspowerful \(p\)-groupsclassification of finite \(p\)-groupscoclass conjecturesgroups of maximal classinfinite soluble pro-\(p\) groupsinverse limits of finite \(p\)-groupsuniserial actions

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15) Derived series, central series, and generalizations for groups (20F14) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

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