Groups of prime-power order having an Abelian centralizer of type (r,1)

DOI10.1007/BF01300734zbMath0552.20010OpenAlexW2006322031MaRDI QIDQ801034

Norman Blackburn

Publication date: 1985

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178209

zbMATH Keywords

classcentralizercommutatorlower central seriesgroup generated by the p-th powers

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Commutator calculus (20F12)

Related Items (7)

Connected components of the category of elementary Abelian \(p\)-subgroups. ⋮ On a question of N. Blackburn about finite 2-groups. ⋮ On F-groups with the central factor of order p ⁴ ⋮ On subgroups of finite \(p\)-groups ⋮ \(p\)-groups with maximal elementary Abelian subgroups of rank 2. ⋮ Finite \(2\)-groups with small centralizer of an involution ⋮ Finite \(p\)-groups

Cites Work

• On a special class of \(p\)-groups
• On Centralizers in P -Groups
• ON p-GROUPS OF MAXIMAL CLASS I
• A Contribution to the Theory of Groups of Prime-Power Order
• Endliche Gruppen I

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