Results 221 to 230 of about 8,545 (246)
Some of the next articles are maybe not open access.
The group algebra of the infinite symmetric group
Israel Journal of Mathematics, 1976The 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
openaire +2 more sources
Homology of the Infinite Symmetric Group
The Annals of Mathematics, 1961H*(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 ...
openaire +2 more sources
On Realizations of Representations of the Infinite Symmetric Group
Journal of Mathematical Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Maximal Subgroups of Infinite Symmetric Groups
Canadian Mathematical Bulletin, 1967The 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 ...
openaire +2 more sources
The K -functor (Grothendieck group) of the infinite symmetric group
Journal of Soviet Mathematics, 1985Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 123, 126-151 (Russian) (1983; Zbl 0521.20006).
Vershik, A. M., Kerov, S. V.
openaire +3 more sources
SOME MAXIMAL SUBGROUPS OF INFINITE SYMMETRIC GROUPS
The Quarterly Journal of Mathematics, 1996Several 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 +2 more
openaire +2 more sources
Actions of the Infinite Symmetric Group
2003[no abstract] ; © 2003 Cambridge University Press.
Henson, C. Ward +3 more
openaire +2 more sources
Second cohomology groups and finite covers of infinite symmetric groups
Journal of Algebra, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Evans, David M., Pastori, Elisabetta
exaly +4 more sources
Representations of Diffeomorphism Groups and the Infinite Symmetric Group
1994Unitary representations of diffeomorphism groups of manifolds are studied in connection with those of the infinite symmetric group. First we study quasi-invariant measures on the spaces of ordered configurations. Then, using them, we construct quite a big family of representations by a measurable version of the method of associated vector bundles ...
openaire +1 more source
Description of the characters and factor representations of the infinite symmetric inverse semigroup
Functional Analysis and Its Applications, 2011P P Nikitin, Vershik A M
exaly