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Please use this identifier to cite or link to this item: http://hdl.handle.net/10023/2128
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Title: On maximal subgroups of free idempotent generated semigroups
Authors: Gray, R
Ruskuc, Nik
Keywords: QA Mathematics
Issue Date: 2012
Citation: Gray , R & Ruskuc , N 2012 , ' On maximal subgroups of free idempotent generated semigroups ' Israel Journal of Mathematics , vol 189 , no. 1 , pp. 147-176 .
Abstract: We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup. (3) Every group is a maximal subgroup of some free regular idempotent generated semigroup. (4) Every finite group is a maximal subgroup of some free regular idempotent generated semigroup arising from a finite regular semigroup. As a technical prerequisite for these results we establish a general presentation for the maximal subgroups based on a Reidemeister–Schreier type rewriting.
Version: Postprint
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2128
DOI: http://dx.doi.org/10.1007/s11856-011-0154-x
ISSN: 0021-2172
Type: Journal article
Rights: This is an author version of this article. The original publication is available at www.springerlink.com
Appears in Collections:Centre for Interdisciplinary Research in Computational Algebra (CIRCA) Research
University of St Andrews Research
Pure Mathematics Research



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