Results 211 to 220 of about 8,545 (246)
Integrating AUROC and SSMD for quality control in high-throughput screening assays. [PDF]
Zhang XD.
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Measurement-induced phase transitions in informational active matter. [PDF]
VanSaders B, Fruchart M, Vitelli V.
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A Remark on Representations of Infinite Symmetric Groups [PDF]
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
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Implausible Subgroups of Infinite Symmetric Groups
Bulletin of the London Mathematical Society, 1988Let 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
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Maximal Subgroups of Infinite Symmetric Groups
Proceedings of the London Mathematical Society, 1994This 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
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Lévy–Khinchin formula for the infinite symmetric group
Mathematische Zeitschrift, 2012A 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
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Unbounded families and the cofinality of the infinite symmetric group
Archive for Mathematical Logic, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simon Thomas
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Groupwise density and the cofinality of the infinite symmetric group
Archive for Mathematical Logic, 1998For 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
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Maximal Subgroups of Infinite Symmetric Groups
Journal of the London Mathematical Society, 1990It 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.
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