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arXiv:1112.2721 [math.GR]AbstractReferencesReviewsResources

The geometry of the conjugacy problem in lamplighter groups

Andrew W. Sale

Published 2011-12-12, updated 2016-01-13Version 2

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.

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
Categories: math.GR, math.MG
Subjects: 20F65, 20F16, 20F10, 05C50, 20E22
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