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Soluble Right Orderable Groups are Locally Indicable

Published online by Cambridge University Press:  20 November 2018

I. M. Chiswell  and
P. H. Kropholler
I. M. Chiswell
Affiliation:
School of Mathematical Sciences Queen Mary and Westfield College London El 4NS United Kingdom
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Abstract

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The object of this paper is to show that every soluble right orderable group is locally indicable. The proof identifies an interesting connection between the theory of right orderable groups and the theory of amenable groups and bounded cohomology.

Keywords

20F6020F16orderablesolvablegroup
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 1 , 01 March 1993 , pp. 22 - 29
Copyright
Copyright © Canadian Mathematical Society 1993

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