English

Characters and invariant random subgroups of the finitary symmetric group

Group Theory 2018-12-07 v1

Abstract

We will describe the relationship between the indecomposable characters of the finitary symmetric group and its ergodic invariant random subgroups; and we will interpret each Thoma character as an asymptotic limit of a naturally associated sequence of characters induced from linear characters of Young subgroups of finite symmetric groups.

Keywords

Cite

@article{arxiv.1812.02694,
  title  = {Characters and invariant random subgroups of the finitary symmetric group},
  author = {Simon Thomas},
  journal= {arXiv preprint arXiv:1812.02694},
  year   = {2018}
}