A simple construction for a class of p-groups with all of their automorphisms central

2014/06/30 by Caranti, A.
#20D15 #20D45 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1406.7651

Abstract

We exhibit a simple construction, based on elementary linear algebra, for a class of examples of finite p-groups of nilpotence class 2 all of whose automorphisms are central.

Related

• Finite p-groups with minimum number of central automorphisms fixing\n the center element-wise
• Abelian Groups, Homomorphisms and Central Automorphisms of Nilpotent Groups
• On central automorphisms of finite p-groups
• Finite p-groups of class 2 as central extensions
• The Automorphism Group of p-Central p-Groups