Automorphisms of a finitary factor power of an infinite symmetric group

Authors

  • S. V. Hudzenko

Abstract

We consider a semigroup FP+fin(Sfin(N)) defined as a finitary factor power of a finitary symmetric group of countable order. It is proved that all automorphisms of FP+fin(Sfin(N)) are induced by permutations from Sfin(N).

Published

25.07.2010

Issue

Section

Short communications

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.