The homology of completely simple semigroups
Group Theory
2024-05-13 v1
Abstract
I explicitly compute the Eilenberg-Mac Lane homology of a completely simple semigroup using topological means. I also complete Gray and Pride's investigation into the homological finiteness properties of completely simple semigroups, as well as studying their topological finiteness properties. I give a topological proof of Pride's unpublished homological lower bound for the deficiency of a monoid or semigroup.
Cite
@article{arxiv.2405.06594,
title = {The homology of completely simple semigroups},
author = {Benjamin Steinberg},
journal= {arXiv preprint arXiv:2405.06594},
year = {2024}
}