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ToolsGray, R. and Ruskuc, N. (2012) On maximal subgroups of free idempotent generated semigroups. Israel Journal of Mathematics, 189 (1). pp. 147-176. ISSN 0021-2172
Full text not available from this repository. (Request a copy)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.
| Item Type: | Article |
|---|---|
| Faculty \ School: | Faculty of Science > School of Mathematics |
| Depositing User: | Users 2731 not found. |
| Date Deposited: | 15 Feb 2013 22:44 |
| Last Modified: | 14 May 2023 23:54 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/41251 |
| DOI: | 10.1007/s11856-011-0154-x |
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