Results 161 to 170 of about 11,399 (183)

Quantum Shannon Information Theory-Design of Communication, Ciphers, and Sensors. [PDF]

Entropy (Basel)
Hirota O.
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Median geometry for spaces with measured walls and for groups. [PDF]

Math Ann
Chatterji I, Druţu C.
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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
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Simon Thomas
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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

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
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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, Covington, Jacinta, Penttila, Tim, Praeger, Cheryl E., Woods, Alan R.   +4 more
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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.
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The group algebra of the infinite symmetric group

Israel Journal of Mathematics, 1976
The rational group algebra of the infinite symmetric group is studied using Young diagrams. Maximal and prime ideals are characterized and the maximal condition on ideals is proved.
Formanek, Edward, Lawrence, John
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Homology of the Infinite Symmetric Group

The Annals of Mathematics, 1961
H*(S(co); Z.,) with coefficients in the integers mod p (p :prime). It is proved that the height of any non-zero element is co if p = 2, and is either co or < p if p is odd. If p = 2 this fact and the result in [11, ? 6] enable us to determine the structure of the cohomology algebra H*(S(oo); Z2) by using Borel's theorem on the structure of Hopf ...
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