Maximal subgroups of free idempotent generated semigroups over the full linear monoid

Details Maximal subgroups of free idempotent generated semigroups over the full linear monoid Maximal subgroups of free idempotent generated semigroups over the full linear monoid

2011-12-05

arxiv.org/abs/1112.0893v1

Mathematics

Group Theory

38 pages

Scientific paper

We show that the rank r component of the free idempotent generated semigroup
of the biordered set of the full linear monoid of n x n matrices over a
division ring Q has maximal subgroup isomorphic to the general linear group
GL_r(Q), where n and r are positive integers with r < n/3.

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