Maximal subgroups of free idempotent generated semigroups over the full linear monoid
Group Theory
2014-03-10 v2
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.
Cite
@article{arxiv.1112.0893,
title = {Maximal subgroups of free idempotent generated semigroups over the full linear monoid},
author = {Igor Dolinka and Robert Gray},
journal= {arXiv preprint arXiv:1112.0893},
year = {2014}
}
Comments
37 pages; Transactions of the American Mathematical Society (to appear). arXiv admin note: text overlap with arXiv:1009.5683 by other authors