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arXiv · 1112.0893

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

Igor Dolinka·Robert Gray
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Abstract

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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Igor Dolinka, Robert Gray. 2011-12-05. Maximal subgroups of free idempotent generated semigroups over the full linear monoid. https://doi.org/10.1090/s0002-9947-2013-05864-3

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