paper

Subgroups of free idempotent generated semigroups: full linear monoid

arXiv:1009.5683

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.

We hope to use similar methods to study the higher rank components

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