On the growth of generating sets for direct powers of semigroups.

DOI10.1007/s00233-011-9352-4zbMath1266.20066OpenAlexW2099941817MaRDI QIDQ415538

N. J. Loughlin, A. R. Wallis, Martyn Quick, James T. Hyde, Nikola Ruškuc

Publication date: 8 May 2012

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10023/2129

zbMATH Keywords

logarithmic growthfinite semigroupsexponential growthnumbers of generatorsmonoidslinear growthdirect powers of semigroupsgrowth of generating sets

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free semigroups, generators and relations, word problems (20M05) Asymptotic properties of groups (20F69)

Related Items (2)

GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS ⋮ Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals

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• Generators and relations of direct products of semigroups
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• ON FINITE GENERATION AND OTHER FINITENESS CONDITIONS FOR WREATH PRODUCTS OF SEMIGROUPS

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