Results 31 to 40 of about 10,909 (156)

Subgroups of small Index in infinite Symmetric Groups

open access: yesBulletin of the London Mathematical Society, 1986
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]

open access: yesJournal of Symbolic Logic, 1997
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

open access: yesComplex Manifolds, 2014
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
doaj   +1 more source

A Remark on Representations of Infinite Symmetric Groups [PDF]

open access: yesJournal of Mathematical Sciences, 2013
We simplify construction of Thoma representations of an infinite symmetric ...
openaire   +2 more sources

Tensor models, Kronecker coefficients and permutation centralizer algebras

open access: yesJournal of High Energy Physics, 2017
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
doaj   +1 more source

MAXIMAL SUBSEMIGROUPS OF INFINITE SYMMETRIC GROUPS

open access: yesBulletin of the Australian Mathematical Society
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]

open access: yesProceedings of the American Mathematical Society, 1964
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.
openaire   +1 more source

On matrix representations of oversemigroups of semigroups generated by two mutually annihilating idempotents

open access: yesНауковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020
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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On a class of stationary loops on SO(n) $\mathbf{SO}(n)$ and the existence of multiple twisting solutions to a nonlinear elliptic system subject to a hard incompressibility constraint

open access: yesBoundary Value Problems, 2018
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
doaj   +1 more source

SELBERG ZETA FUNCTIONS OF INFINITE SYMMETRIC GROUPS

open access: yesKyushu Journal of Mathematics, 2004
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 \(G\to X\).
openaire   +2 more sources

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