On the growth of generating sets for direct powers of semigroups
MetadataShow full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
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.
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 . https://doi.org/10.1007/s00233-011-9352-4
This is an author version of this article. The original publication (c) Springer Science+ Business Media, LLC 20011 is available at www.springerlink.com
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.