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Title: On defining groups efficiently without using inverses
Authors: Campbell, Colin Matthew
Mitchell, James David
Ruskuc, Nikola
Keywords: Semigroups
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 . , 10.1017/S0305004102005959
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
ISSN: 0305-0041
Type: Journal article
Rights: 2002 Cambridge Philosophical Society
Appears in Collections:Centre for Interdisciplinary Research in Computational Algebra (CIRCA) Research
University of St Andrews Research
Mathematics & Statistics Research
Pure Mathematics Research

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