Results 11 to 20 of about 11,399 (183)
A Remark on Representations of Infinite Symmetric Groups [PDF]
Journal of Mathematical Sciences, 2013 We simplify construction of Thoma representations of an infinite symmetric ...
Yu A Neretin, Neretin Yu A
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On representations of the infinite symmetric group [PDF]
Journal of Mathematical Sciences, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreĭ Okounkov
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Uniformization Problems and the Cofinality of the Infinite Symmetric Group [PDF]
Notre Dame Journal of Formal Logic, 1994 For a group \(G\) which is not finitely generated, the cofinality of \(G\), written \(c(G)\), is defined to be the least cardinal \(\lambda\) such that \(G\) is the union of a chain of \(\lambda\) proper subgroups. For an infinite cardinal \(\kappa\), denote \(c(\text{Sym}(\kappa))\) by \(c_ \kappa\). \textit{H. D. Macpherson} and \textit{P. M. Neumann}
James D. Sharp, Simon Thomas
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Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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GENERATING INFINITE SYMMETRIC GROUPS [PDF]
Bulletin of the London Mathematical Society, 2006 Let S=Sym(Ω) be the group of all permutations of an infinite set Ω. Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n such that every element of S may be written as a group word, respectively a monoid word, of length \leq n in the
GEORGE M. BERGMAN
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The cofinality spectrum of the infinite symmetric group [PDF]
Journal of Symbolic Logic, 1994 AbstractLetSbe the group of all permutations of the set of natural numbers. The cofinality spectrumCF(S)ofSis the set of all regular cardinalsλsuch thatScan be expressed as the union of a chain ofλproper subgroups. This paper investigates which setsCof regular uncountable cardinals can be the cofinality spectrum ofS.
Saharon Shelah, Simon Thomas
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Maximal subgroups of infinite symmetric groups. [PDF]
Notre Dame Journal of Formal Logic, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
James E. Baumgartner +2 more
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Certain unitary representations of the infinite symmetric group, II [PDF]
Nagoya Mathematical Journal, 1987 The infinite symmetric group is the discrete group of all finite permutations of the set X of all natural numbers. Among discrete groups, it has distinctive features from the viewpoint of representation theory and harmonic analysis. First, it is one of the most typical ICC-groups as well as free groups and known to be a group of non-type I.
Nobuaki Obata
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Maximal Subgroups of Infinite Symmetric Groups [PDF]
Canadian Mathematical Bulletin, 1967 The purpose of this paper is to extend results of Ball [1] concerning maximal subgroups of the group S(X) of all permutations of the infinite set X. The basic idea is to consider S(X) as a group of operators on objects more complicated than X. The objects we consider here are subspaces of the Stone-Čech compactification of the discrete space X and the ...
Fred Richman
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The K -functor (Grothendieck group) of the infinite symmetric group [PDF]
Journal of Soviet Mathematics, 1985 Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 123, 126-151 (Russian) (1983; Zbl 0521.20006).
A. M. Vershik, S. V. Kerov
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