Characters and invariant random subgroups of the finitary symmetric group

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Abstract

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

Original languageEnglish (US)
Article number108272
JournalAdvances in Mathematics
Volume399
DOIs
StatePublished - Apr 16 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Character
  • Finitary symmetric group
  • Invariant random subgroup

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