On Maximal Subgroups of Free Idempotent Generated Semigroups
Group Theory
2011-08-02 v2
Abstract
We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup. (3) Every group is a maximal subgroup of some free regular idempotent generated semigroup. (4) Every finite group is a maximal subgroup of some free regular idempotent generated semigroup arising from a finite regular semigroup.
Cite
@article{arxiv.0909.5630,
title = {On Maximal Subgroups of Free Idempotent Generated Semigroups},
author = {Robert Gray and Nik Ruskuc},
journal= {arXiv preprint arXiv:0909.5630},
year = {2011}
}
Comments
27 pages