The occurrence of groups as automorphisms of nilpotent p-groups

DOI10.1007/BF01234386zbMath0475.20027MaRDI QIDQ1159765

U. H. M. Webb

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

free product of cyclic groupselementary abelian automorphism groupn-generator p-groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Automorphism groups of groups (20F28) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items

Construction of finite p-groups with prescribed group of noncentral automorphisms, The automorphism group of a finite \(p\)-group is almost always a \(p\)-group., Almost all 𝑝-groups have automorphism group a 𝑝-group, On torsion groups with nilpotent automorphism groups, Classical groups acting on nilpotent groups, p-gruppi finiti con automorfo nilpotente, An independence result for group automorphisms, Maximal linear groups induced on the Frattini quotient of a \(p\)-group, Finite groups, Wreath products of cyclic \(p\)-groups as automorphism groups., Automorphisms of Torsion-Free Nilpotent Groups of Class Two, A class of special \(p\)-groups, Characterizing inner automorphisms of groups, The number of stem covers of an elementary Abelian p-group, Automorphism groups of \(p\)-groups of class 2 and exponent \(p^2\): A classification on 4 generators, On Inner Automorphisms of Finite Groups

Cites Work

• Unnamed Item
• On \(p\)-automorphisms of finite \(p\)-groups
• Some non-abelian p-groups with abelian automorphism groups
• The occurrence of finite groups in the automorphism group of nilpotent groups of class 2
• On the Minimum Order of Graphs with Given Group
• Lie Representations and Groups of Prime Power Order
• The smallest graph whose group is cyclic