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Direct Product Decompositions of Twisted Wreath Products

Published online by Cambridge University Press:  20 November 2018

Jeffrey M. Brown
Jeffrey M. Brown*
Affiliation:
Marianopolis College, Montreal, Canada
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The twisted wreath product of two groups was first defined by B. H. Neumann ([1]) who used this construction to present a group-theoretic proof of a theorem due to Auslander and Lyndon. In this paper we present a complete characterization of the direct product decompositions of a restricted twisted wreath product of two groups A and B provided this product is not simply a semi-direct product of A by B.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 2 , June 1975 , pp. 163 - 172
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Neumann, B. H., Twisted wreath products of groups, Archiv der Math., 14 (1963), 1-6.Google Scholar
2. Neumann, P. M., On the structure of standard wreath products of groups, Math. Z., 84 (1964), 343-373.Google Scholar