International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 245617, 12 pages
doi:10.1155/2009/245617

Automorphisms of Regular Wreath Product p-Groups

Abstract

We present a useful new characterization of the automorphisms of the regular wreath product group P of a finite cyclic p-group by a finite cyclic p-group, for any prime p, and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut(P), where P is the regular wreath product of a finite cyclic p-group by an arbitrary finite p-group.