2010/09/28 by Mark Brittenham, Brittenham, Mark, Stuart Margolis +3 · 2 citations
Mathematics · #20F05 #20M05 #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1009.5683
openalex publication_date 2010/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.