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Automorphisms of Iterated Wreath Product $p$-Groups |
Published:2011-05-13
Printed: Jun 2012
Printed: Jun 2012
- Jeffrey M. Riedl,
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] |