Cyclic rewriting and conjugacy problems
Group Theory
2012-11-14 v2
Abstract
Cyclic words are equivalence classes of cyclic permutations of ordinary words. When a group is given by a rewriting relation, a rewriting system on cyclic words is induced, which is used to construct algorithms to find minimal length elements of conjugacy classes in the group. These techniques are applied to the universal groups of Stallings pregroups and in particular to free products with amalgamation, HNN-extensions and virtually free groups, to yield simple and intuitive algorithms and proofs of conjugacy criteria.
Cite
@article{arxiv.1206.4431,
title = {Cyclic rewriting and conjugacy problems},
author = {Volker Diekert and Andrew Duncan and Alexei Myasnikov},
journal= {arXiv preprint arXiv:1206.4431},
year = {2012}
}
Comments
37 pages, 1 figure, submitted. Changes to introduction