Holonomy theorem for finite semigroups
Group Theory
2022-08-12 v2
Abstract
We provide a simple proof of the Holonomy Theorem using a new Lyndon-Chiswell length function on the Karnofsky-Rhodes expansion of a semigroup. Unexpectedly, we have both a left and a right action on the Chiswell tree by elliptic maps.
Cite
@article{arxiv.2007.15552,
title = {Holonomy theorem for finite semigroups},
author = {John Rhodes and Anne Schilling and Pedro V. Silva},
journal= {arXiv preprint arXiv:2007.15552},
year = {2022}
}
Comments
15 pages, 13 figures