Subgroups of free idempotent generated semigroups: full linear monoid
Group Theory
2013-03-26 v1
Abstract
We develop some new topological tools to study maximal subgroups of free idempotent generated semigroups. As an application, we show that the rank 1 component of the free idempotent generated semigroup of the biordered set of a full matrix monoid of n x n matrices, n>2$ over a division ring Q has maximal subgroup isomorphic to the multiplicative subgroup of Q.
Keywords
Cite
@article{arxiv.1009.5683,
title = {Subgroups of free idempotent generated semigroups: full linear monoid},
author = {Mark Brittenham and Stuart W. Margolis and John Meakin},
journal= {arXiv preprint arXiv:1009.5683},
year = {2013}
}
Comments
We hope to use similar methods to study the higher rank components