Results 11 to 20 of about 8,545 (246)
GENERATING INFINITE SYMMETRIC GROUPS [PDF]
Bulletin of the London Mathematical Society, 2006 Let S = Sym(Omega) be the group of all permutations of an infinite set Omega. Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, then there exists a positive integer n such that every element of S
George M. Bergman, Bergman, George M
core +5 more sources
Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 International audienceWe review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$.
Herbrich, Peter +3 more
core +6 more sources
Squares of conjugacy classes in the infinite symmetric groups [PDF]
Transactions of the American Mathematical Society, 1987 Using combinatorial methods, we will examine squares of conjugacy classes in the symmetric groups S ν {S_\nu } of all permutations of an infinite set of cardinality ℵ ...
Manfred Droste
core +3 more sources
SELBERG ZETA FUNCTIONS OF INFINITE SYMMETRIC GROUPS
Kyushu Journal of Mathematics, 2004 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.
木本, 一史, Kimoto, Kazufumi
core +3 more sources
Representations of the infinite symmetric group
, 2016 Representation theory of big groups is an important and quickly developing part of modern mathematics, giving rise to a variety of important applications in probability and mathematical physics.
Olshanski, Grigori, Borodin, Alexei
core +2 more sources
Products of conjugacy classes of the infinite symmetric groups
Discrete Mathematics, 1983 Using combinatorial methods, we will examine products of conjugacy classes in the symmetric group S0 of all permutations of a countably infinite set.
Droste, Manfred
core +3 more sources
On different models of representations of the infinite symmetric group
Advances in Applied Mathematics, 2006 We present an explicit description of the isomorphism between two models of finite factor representations of the infinite symmetric group: the tableau model in the space of functions on Young bitableaux and the dynamical model in the space of functions ...
Vershik, A.M., Tsilevich, N.V.
core +3 more sources
The cofinality spectrum of the infinite symmetric group [PDF]
Journal of Symbolic Logic, 1997 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 0001
openaire +3 more sources
On Generating Sets of Infinite Symmetric Group
Journal of Mathematical Sciences, 2023 It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.
Semenov, A. V., Denisova, A. D.
openaire +3 more sources
Point processes and the infinite symmetric group [PDF]
Mathematical Research Letters, 1998 This paper gives a short overview of the main results obtained in five preprints of the authors with the same title [\textit{G. Olshanski}, part I, http://arXiv.org/abs/math/9804086; \textit{A. Borodin}, part II, http://arXiv.org/abs/math/9804087; \textit{A. Borodin} and \textit{G.
Borodin, Alexei, Olshanski, Grigori
openaire +1 more source