J Austral Math Soc Ser A 48 pp87--88, 1990.

Growth Sequences of Globally Idempotent Semigroups

György Pollák

(Received 7 December 1988)

Abstract

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

1980 AMS Subject Classification (1985 Revision): 20M99

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Authors

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

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Last Modified: Wed Feb 19 10:27:52 2003