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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, 20D15, 20E22 show english descriptions Automorphisms
Nilpotent groups, $p$-groups
Extensions, wreath products, and other compositions [See also 20J05]
20D45 - Automorphisms
20D15 - Nilpotent groups, $p$-groups
20E22 - Extensions, wreath products, and other compositions [See also 20J05]
 

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