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# Automorphisms of Iterated Wreath Product $p$-Groups

Published:2011-05-13
Printed: Jun 2012
• Jeffrey M. Riedl,
Department of Theoretical and Applied Mathematics, University of Akron, Akron, OH 44325-4002, USA
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## Abstract

We determine the order of the automorphism group $\operatorname{Aut}(W)$ for each member $W$ of an important family of finite $p$-groups that may be constructed as iterated regular wreath products of cyclic groups. We use a method based on representation theory.
 MSC Classifications: 20D45 - Automorphisms 20D15 - Nilpotent groups, $p$-groups 20E22 - Extensions, wreath products, and other compositions [See also 20J05]