Results 31 to 40 of about 11,348 (250)
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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Orthogonal Polynomials of Compact Simple Lie Groups
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
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5,5′-Dimethoxy-2,2′-[(pentane-1,5-diyldioxy)bis(nitrilomethylidyne)]diphenol
The molecule of the title compound, C21H26N2O6, which lies across a crystallographic inversion centre, crystallizes with two unique half-molecules in the symmetric unit and adopts a linear configuration and the imino group is coplanar with the aromatic ...
Li Li +4 more
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Research on the chaotic secure communication of the phase-space symmetric Lorenz oscillator group
To meet the demand of chaotic oscillators for large scale secure communications,the Lorenz oscillator was taken as an example,a phase-space symmetric chaotic oscillator group model was proposed and the synchronization problem was studied.According to the
Linfang LIU +3 more
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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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Asymptotically Safe Gravity-Fermion Systems on Curved Backgrounds
We set up a consistent background field formalism for studying the renormalization group (RG) flow of gravity coupled to Nf Dirac fermions on maximally symmetric backgrounds.
Jesse Daas +3 more
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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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Uniformization Problems and the Cofinality of the Infinite Symmetric Group
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 \(c(\text{Sym}(\kappa))\) by \(c_ \kappa\). \textit{H. D. Macpherson} and \textit{P. M. Neumann}
James D. Sharp, Simon Thomas 0001
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Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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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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