Mathematics – Group Theory
Scientific paper
2011-12-05
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.
Dolinka Igor
Gray Robert
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