Subgroups of free idempotent generated semigroups: full linear monoid

Details Subgroups of free idempotent generated semigroups: full linear monoid Subgroups of free idempotent generated semigroups: full linear monoid

2010-09-28

arxiv.org/abs/1009.5683v1

Mathematics

Group Theory

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

Scientific paper

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.

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