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Automorphisms of permutational wreath products

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  09 April 2009

A. Mohammadi Hassanabadi
A. Mohammadi Hassanabadi
Affiliation:
Department of Mathematics Faculty of Science The University of IsfahanIsfahan, Iran
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Abstract

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Ore (1942) studied the automorphisms of finite monomial groups and Holmes (1956, pp. 23–93) has given the form of the automorphisms of the restricted monomial groups in the infinite case. The automorphism group of a standard wreath product has been studied by Houghton (1962) and Segal (1973, Chapter 4). Monomial groups and standard wreath products are both special cases of permutational wreath product. Here we investigate the automorphisms of the permutational wreath product and consider to what extent the results holding in the special cases remain true for the general construction. Our results extend those of Bunt (1968).

MSC classification

Secondary: 20F55: Reflection and Coxeter groups

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 2 , September 1978 , pp. 198 - 208
Copyright
Copyright © Australian Mathematical Society 1978

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