Results 201 to 210 of about 7,996 (229)

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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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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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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Maximal Subgroups of Infinite Symmetric Groups

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 ...
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On Realizations of Representations of the Infinite Symmetric Group

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The K -functor (Grothendieck group) of the infinite symmetric group

Journal of Soviet Mathematics, 1985
Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 123, 126-151 (Russian) (1983; Zbl 0521.20006).
Vershik, A. M., Kerov, S. V.
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SOME MAXIMAL SUBGROUPS OF INFINITE SYMMETRIC GROUPS

The Quarterly Journal of Mathematics, 1996
Several classes of maximal subgroups of symmetric groups \(S=\text{Sym}(\Omega)\) where \(|\Omega|=\kappa\) is infinite are investigated. A collection \(\mathcal I\) of subsets of \(\Omega\) is called an ideal on \(\Omega\) if \(\emptyset\in{\mathcal I}\), \(\Omega\notin{\mathcal I}\), and \(\mathcal I\) is closed under taking subsets and finite unions.
Covington, Jacinta, Macpherson, Dugald, Mekler, Alan   +2 more
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Actions of the Infinite Symmetric Group

2003
© 2003 Cambridge University Press.
Henson, C. Ward, Iovino, José, Kechris, Alexander S., Odell, Edward   +3 more
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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. This book provides the first concise and self-contained introduction to the theory on the simplest yet very nontrivial example of the infinite symmetric group,
Alexei Borodin, Grigori Olshanski
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