Infinite symmetric group - Open Access .click

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Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group [PDF]

, 2006
Takeshi Hirai, Etsuko Hirai, Akihito Hora +2 more
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Are Primitive Words Universal for Infinite Symmetric Groups? [PDF]

, 1983
D. M. Silberger
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SELBERG ZETA FUNCTIONS OF INFINITE SYMMETRIC GROUPS

Kyushu Journal of Mathematics, 2004
From the author's abstract: ``The main purpose of this paper is to seek a reasonable formulation of Selberg zeta-functions of infinite symmetric groups and calculate actual candidates of them. In order to achieve this, we introduce a (Selberg-type) zeta-function attached to a finite group action $G\to X$.
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Uniform finite presentation for groups of polynomial growth

Discrete Analysis
Uniform finite presentation for groups of polynomial growth, Discrete Analysis 2025:1, 29 pp. Let $G$ be a finitely generated infinite group with generators $a_1,\dots,a_k$. The _ball of radius_ $r$ in $G$ is defined to be the set of all elements of $G$
Philip Easo, Tom Hutchcroft
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Products of conjugacy classes of the infinite symmetric groups

Discrete Mathematics, 1983
Let $S_0$ be the group of all permutations on a countably infinite set, and let $p\in S_0$ with at least one infinite orbit. Let $\pi$ be the following property: $(\pi)$ $p$ has exactly one infinite orbit and for every natural number $n$ at most a finite number of orbits of length $n$. One of the main results is the following theorem: (a)
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Centralization of positive definite functions, weak containment of representations and Thoma characters for the infinite symmetric group [PDF]

, 2004
Takeshi Hirai
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Centralizers of the infinite symmetric group [PDF]

, 2013
Zajj Daugherty, Peter Herbrich
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Deligne categories and representations of the infinite symmetric group [PDF]