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Every group is a maximal subgroup of the free idempotent generated semigroup over a band
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dc.contributor.author | Dolinka, I | |
dc.contributor.author | Ruskuc, Nik | |
dc.date.accessioned | 2013-02-07T12:34:48Z | |
dc.date.available | 2013-02-07T12:34:48Z | |
dc.date.issued | 2013-05 | |
dc.identifier.citation | Dolinka , I & Ruskuc , N 2013 , ' Every group is a maximal subgroup of the free idempotent generated semigroup over a band ' , International Journal of Algebra and Computation , vol. 23 , no. 3 , pp. 573-581 . https://doi.org/10.1142/S0218196713500100 | en |
dc.identifier.issn | 0218-1967 | |
dc.identifier.other | PURE: 43731884 | |
dc.identifier.other | PURE UUID: b652f099-a40c-4e0e-bef7-9630b2c30ec4 | |
dc.identifier.other | Scopus: 84876289648 | |
dc.identifier.other | ORCID: /0000-0003-2415-9334/work/73702052 | |
dc.identifier.uri | https://hdl.handle.net/10023/3342 | |
dc.description.abstract | Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several questions from recent papers in the area. | |
dc.language.iso | eng | |
dc.relation.ispartof | International Journal of Algebra and Computation | en |
dc.rights | Electronic version of an article published in Int. J. Algebra Comput. DOI: 10.1142/S0218196713500100 © [copyright World Scientific Publishing Company] http://www.worldscientific.com/worldscinet/ijac | en |
dc.subject | Free idempotent generated semigroup | en |
dc.subject | Maximal subgroup | en |
dc.subject | Band | en |
dc.subject | QA Mathematics | en |
dc.subject.lcc | QA | en |
dc.title | Every group is a maximal subgroup of the free idempotent generated semigroup over a band | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.description.version | Postprint | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | https://doi.org/10.1142/S0218196713500100 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | EP/I032282/1 | en |
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