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Rewritable Products In Fc-By-Finite Groups

Published online by Cambridge University Press:  20 November 2018

Russell D. Blyth  and
Akbar H. Rhemtulla
Russell D. Blyth
Affiliation:
Saint Louis University, St. Louis, Missouri
Akbar H. Rhemtulla
Affiliation:
University of Alberta, Edmonton, Alberta
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Let n be an integer greater than 1. The group G has the property Q„, or is n-rewritable, if for each «-element subset ﹛x1 x 2… ,x n﹜ of G, there exist permutations such that If one of ᓂ,τ can always be chosen to be the identity, then G has Pn, or is totally n-rewritable. We also use Pn and Qn to denote the classes of groups having these properties. Making use of the obvious inclusions, we define

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 41 , Issue 2 , 01 April 1989 , pp. 369 - 384
Copyright
Copyright © Canadian Mathematical Society 1989

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