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Characters and invariant random subgroups of the finitary symmetric group

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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… Click to show full 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: random subgroups; finitary symmetric; characters invariant; symmetric group; invariant random

Journal Title: Advances in Mathematics
Year Published: 2022

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