Space Groups and Groups of Prime Power order VII. Powerful p -Groups and Uncovered p -Groups

DOI10.1112/blms/24.3.271zbMath0794.20028OpenAlexW2038891407MaRDI QIDQ4024851

Avinoam Mann

Publication date: 16 February 1993

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

Full work available at URL: https://doi.org/10.1112/blms/24.3.271

zbMATH Keywords

finite \(p\)-groupspro-\(p\)-groupspowerful \(p\)-groupsmaximal classcoclassBlackburn's theoremuncovered groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other geometric groups, including crystallographic groups (20H15) Finite nilpotent groups, (p)-groups (20D15) Limits, profinite groups (20E18)

Related Items (8)

Groups with few class sizes and the centraliser equality subgroup. ⋮ Bounds for the exponent of the Schur multiplier ⋮ The origins of coclass theory ⋮ Graded Lie Algebras of Maximal Class ⋮ On the Schur multipliers of finite \(p\)-groups of given coclass. ⋮ Two-dimensional supergravity in the canonical exterior formalism ⋮ Almost regular automorphisms ⋮ The structure of finite \(p\)-groups: Effective proof of the coclass conjectures

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