Automorphisms of Regular Wreath Product ð ‘ -Groups

Jeffrey M. Riedl

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-12

Abstract:

We present a useful new characterization of the automorphisms of the regular wreath product group 𠑃 of a finite cyclic ð ‘ -group by a finite cyclic ð ‘ -group, for any prime ð ‘ , 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( 𠑃 ), where 𠑃 is the regular wreath product of a finite cyclic ð ‘ -group by an arbitrary finite ð ‘ -group.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:245617

DOI: 10.1155/2009/245617

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