Results 211 to 220 of about 8,545 (246)

A Remark on Representations of Infinite Symmetric Groups [PDF]

open access: yesJournal of Mathematical Sciences, 2013
We simplify construction of Thoma representations of an infinite symmetric ...
Yu A Neretin, Neretin Yu A
exaly   +3 more sources

On representations of the infinite symmetric group

open access: yesJournal of Mathematical Sciences, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +4 more sources

Implausible Subgroups of Infinite Symmetric Groups

Bulletin of the London Mathematical Society, 1988
Let S denote the infinite symmetric group of all permutations of \(\omega\), the set of natural numbers. The authors study the possibilities for the induced action of subgroups \(G\subseteq S\) on the power set \({\mathcal P}(\omega)\). Assuming Martin's axiom (MA), they show, in particular, that for any infinite cardinal \(\kappa
Shelah, Saharon, Thomas, Simon
openaire   +2 more sources

Maximal Subgroups of Infinite Symmetric Groups

Proceedings of the London Mathematical Society, 1994
This work is concerned with maximal subgroups of \(S=\text{Sym}(\Omega)\) where \(\Omega\) is a set of infinite cardinality \(\kappa\). Known examples include stabilizers of finite sets, ``almost'' stabilizers of infinite sets \(\Sigma\) where \(| \Sigma|< \kappa\), and ``almost'' stabilizers of finite partitions.
Brazil, Marcus   +4 more
openaire   +1 more source

Lévy–Khinchin formula for the infinite symmetric group

Mathematische Zeitschrift, 2012
A function \(f\) on a group \(G\) is said to be a positive type function if, for any \(g_1, g_2, \dotsc, g_n\in G\) and \(c_1, c_2, \dotsc, c_n\in \mathbb{C}\) \[ \sum_{i, j=1}^n c_i \overline{c_j} f(g_i^{-1}g_j)\geq 0. \] Also, a function \(\psi\) on \(G\) is said to be a negative type function if \(\psi(e)\geq 0\), \(\psi(g^{-1})=\overline{\psi(g)}\)
Mohamed Bouali
exaly   +2 more sources

Unbounded families and the cofinality of the infinite symmetric group

Archive for Mathematical Logic, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simon Thomas
exaly   +3 more sources

Groupwise density and the cofinality of the infinite symmetric group

Archive for Mathematical Logic, 1998
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 \(c({\mathfrak{Sym}}(\kappa))\) by \(c_\kappa\). \textit{H.~D.
Simon Thomas
exaly   +3 more sources

Maximal Subgroups of Infinite Symmetric Groups

Journal of the London Mathematical Society, 1990
It is shown that if G is a permutation group on a countable set X and if G is not highly transitive, then G is contained in some maximal proper subgroup of the full symmetric group on X.
Macpherson, H. D., Praeger, Cheryl E.
openaire   +2 more sources

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