Results 31 to 40 of about 10,909 (156)
Subgroups of small Index in infinite Symmetric Groups
Let \(\Omega\) be an infinite set having cardinality \(n:=| \Omega |\), and let \(S:=Sym(\Omega)\) be its symmetric group having then cardinality \(2^ n\). Moreover, let G be a subgroup of S and let \(S_{\{\Delta \}}\) or \(G_{\{\Delta \}}\) be the setwise stabilizer of \(\Delta\) in S or in G, respectively, for each subset \(\Delta\subseteq \Omega ...
Dixon, J, Neumann, P, Thomas, S
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The cofinality spectrum of the infinite symmetric group [PDF]
AbstractLetSbe the group of all permutations of the set of natural numbers. The cofinality spectrumCF(S)ofSis the set of all regular cardinalsλsuch thatScan be expressed as the union of a chain ofλproper subgroups. This paper investigates which setsCof regular uncountable cardinals can be the cofinality spectrum ofS.
Shelah, S., Thomas, S.
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On the transverse Scalar Curvature of a Compact Sasaki Manifold
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the ...
He Weiyong
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A Remark on Representations of Infinite Symmetric Groups [PDF]
We simplify construction of Thoma representations of an infinite symmetric ...
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Tensor models, Kronecker coefficients and permutation centralizer algebras
We show that the counting of observables and correlators for a 3-index tensor model are organized by the structure of a family of permutation centralizer algebras.
Joseph Ben Geloun, Sanjaye Ramgoolam
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MAXIMAL SUBSEMIGROUPS OF INFINITE SYMMETRIC GROUPS
AbstractBrazilet al. [‘Maximal subgroups of infinite symmetric groups’,Proc. Lond. Math. Soc. (3)68(1) (1994), 77–111] provided a new family of maximal subgroups of the symmetric group$G(X)$defined on an infinite setX. It is easy to see that, in this case,$G(X)$contains subsemigroups that are not groups, but nothing is known about nongroup maximal ...
SUZANA MENDES-GONÇALVES, R. P. SULLIVAN
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The Index Problem for Infinite Symmetric Groups [PDF]
Let M be an infinite set with cardinal X, S(X, Y) = o-: ois a permutation on M such that I spt oj I d has no subgroups of index less than or equal Z. In this paper, the following generalization of these results is proven.
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Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко +1 more
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In this paper we consider the second order nonlinear elliptic system in divergence and variational form {div[Fξ(|x|,|∇u|2)∇u]=[cof∇u]∇Pin U,det∇u=1in U,u=φon ∂U, $$\begin{aligned} \textstyle\begin{cases} \operatorname{div}[ F_{\xi }(\vert x\vert ,\vert ...
George Morrison, Ali Taheri
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SELBERG ZETA FUNCTIONS OF INFINITE SYMMETRIC GROUPS
From the author's abstract: ``The main purpose of this paper is to seek a reasonable formulation of Selberg zeta-functions of infinite symmetric groups and calculate actual candidates of them. In order to achieve this, we introduce a (Selberg-type) zeta-function attached to a finite group action \(G\to X\).
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