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Growth sequence of globally idemportent semigroups

Part of: Semigroups

Published online by Cambridge University Press:  09 April 2009

György Pollák
György Pollák
Affiliation:
Magyar Tudományos Akadémia Matematikai Kutató Intézete Budapest, Hungary
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Abstract

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The n–th member of the growth sequence of a globally idempotent finite semigroup without identity element is at least 2n. (This had been conjectured by J. Wiegold.)

MSC classification

Secondary: 20M99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 1 , February 1990 , pp. 87 - 88
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Clifford, A. H. and Preston, G. B., The Algebraic Theory of Semigroups, vol. 1 (Math. Surveys No. 7, Providence, R. I., 1961).Google Scholar
[2]Wiegold, J., ‘Growth sequences of finite semigroups’, J. Austral. Math. Soc. (Ser. A) 43 (1987), 16–20.Google Scholar