The geometry of the conjugacy problem in lamplighter groups
Group Theory
2016-01-14 v2 Metric Geometry
Abstract
In this note we investigate the conjugacy problem in lamplighter groups with particular interest in the role of their geometry. In particular we show that the conjugacy length function is linear.
Cite
@article{arxiv.1112.2721,
title = {The geometry of the conjugacy problem in lamplighter groups},
author = {Andrew W. Sale},
journal= {arXiv preprint arXiv:1112.2721},
year = {2016}
}
Comments
13 pages, 6 figure. Updated to focus only on lamplighter groups and their generalisations. The other aspects of v1 have appeared in other papers of the author