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

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.

37 pages; Transactions of the American Mathematical Society (to appear). arXiv admin note: text overlap with arXiv:1009.5683 by other authors

References in corpus (1)

• Subgroups of free idempotent generated semigroups need not be free

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