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| Title: | On defining groups efficiently without using inverses |
| Authors: | Campbell, Colin Matthew
Mitchell, James David
Ruskuc, Nikola |
| Keywords: | Semigroups
Presentations
QA Mathematics |
| Issue Date: | Jul-2002 |
| Citation: | Campbell , C M , Mitchell , J D & Ruskuc , N 2002 , ' On defining groups efficiently without using inverses ' Mathematical Proceedings of the Cambridge Philosophical Society , vol 133 , no. 1 , pp. 31-36 . |
| Abstract: | Let G be a group, and let <A \ R> be a finite group presentation for G with \R\ greater than or equal to \A\. Then there exists a, finite semigroup, presentation <B \ Q> for G such that \Q\ - \B\ = \R\ - \A\. Moreover, B is either the same generating set or else it contains one additional generator. |
| Version: | Publisher PDF |
| Status: | Peer reviewed |
| URI: | http://hdl.handle.net/10023/1442 |
| DOI: | http://dx.doi.org/10.1017/S0305004102005959 |
| ISSN: | 0305-0041 |
| Type: | Journal article |
| Rights: | 2002 Cambridge Philosophical Society |
| Appears in Collections: | University of St Andrews Research
Mathematics & Statistics Research
Pure Mathematics Research
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