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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: | University of St Andrews Research
Pure Mathematics Research
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