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FINITARY POWER SEMIGROUPS OF INFINITE GROUPS ARE NOT FINITELY GENERATED
Published online by Cambridge University Press: 01 June 2005
Abstract
For a semigroup $S$, the finitary power semigroup of $S$, denoted $P_f(S)$, consists of all finite subsets of $S$ under the usual multiplication. The main result of this paper asserts that $P_f(G)$ is not finitely generated for any infinite group $G$.
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- © The London Mathematical Society 2005
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