Free inverse monoids are not $FP_2$
Group Theory
2020-02-19 v1 Algebraic Topology
Rings and Algebras
Abstract
We give a topological proof that a free inverse monoid on one or more generators is neither of type left- nor right-. This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.
Keywords
Cite
@article{arxiv.2002.07690,
title = {Free inverse monoids are not $FP_2$},
author = {Robert D. Gray and Benjamin Steinberg},
journal= {arXiv preprint arXiv:2002.07690},
year = {2020}
}
Comments
5 pages, 1 figure, This article was originally part of our paper arXiv:1805.03413, and has now been extracted as this short note