The subword reversing method
Group Theory
2009-12-23 v1
Abstract
We summarize the main known results involving subword reversing, a method of semigroup theory for constructing van Kampen diagrams by referring to a preferred direction. In good cases, the method provides a powerful tool for investigating presented (semi)groups. In particular, it leads to cancellativity and embeddability criteria for monoids and to efficient solutions for the word problem of monoids and groups of fractions.
Cite
@article{arxiv.0912.4272,
title = {The subword reversing method},
author = {Patrick Dehornoy},
journal= {arXiv preprint arXiv:0912.4272},
year = {2009}
}