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Please use this identifier to cite or link to this item: http://hdl.handle.net/10023/2129
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Title: On the growth of generating sets for direct powers of semigroups
Authors: Hyde, James Thomas
Loughlin, Nicholas
Quick, Martyn
Ruskuc, Nik
Wallis, Alistair
Keywords: Semigroup
Monoid
Direct power
Generating set
QA Mathematics
Issue Date: 2012
Citation: Hyde , J T , Loughlin , N , Quick , M , Ruskuc , N & Wallis , A 2012 , ' On the growth of generating sets for direct powers of semigroups ' Semigroup Forum , vol 84 , no. 1 , pp. 116-130 .
Abstract: For a semigroup S its d-sequence is d(S) = (d1, d2, d3, . . .), where di is the smallest number of elements needed to generate the ith direct power of S. In this paper we present a number of facts concerning the type of growth d(S) can have when S is an infinite semigroup, comparing them with the corresponding known facts for infinite groups, and also for finite groups and semigroups.
Version: Postprint
Status: Peer reviewed
URI: http://hdl.handle.net/10023/2129
DOI: http://dx.doi.org/10.1007/s00233-011-9352-4
ISSN: 0037-1912
Type: Journal article
Rights: This is an author version of this article. The original publication (c) Springer Science+ Business Media, LLC 20011 is available at www.springerlink.com
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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