2017
Том 69
№ 7

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Automorphisms of a finitary factor power of an infinite symmetric group

Hudzenko S. V.

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Abstract

We consider a semigroup $FP^{+}_{\text{fin}}(\mathfrak{S}_{\text{fin}}(\mathbb{N}))$ defined as a finitary factor power of a finitary symmetric group of countable order. It is proved that all automorphisms of $FP^{+}_{\text{fin}}(\mathfrak{S}_{\text{fin}}(\mathbb{N}))$ are induced by permutations from $\mathfrak{S}_{\text{fin}}(\mathbb{N})$.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 7, pp 1158-1162.

Citation Example: Hudzenko S. V. Automorphisms of a finitary factor power of an infinite symmetric group // Ukr. Mat. Zh. - 2010. - 62, № 7. - pp. 997–1001.

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