TY - JOUR AU - S. V. Hudzenko PY - 2010/07/25 Y2 - 2024/03/28 TI - Automorphisms of a finitary factor power of an infinite symmetric group JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 62 IS - 7 SE - Short communications DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2931 AB - 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 $\mathfrak{S}_{\text{fin}}(\mathbb{N})$. ER -