Automorphisms of a finitary factor power of an infinite symmetric group

  • S. V. Hudzenko

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 $\mathfrak{S}_{\text{fin}}(\mathbb{N})$.
Published
25.07.2010
How to Cite
Hudzenko, S. V. “Automorphisms of a Finitary Factor Power of an Infinite Symmetric Group”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 7, July 2010, pp. 997–1001, https://umj.imath.kiev.ua/index.php/umj/article/view/2931.
Section
Short communications