In this note we give an example of a group which is locally embeddable into finite groups (in particular it is initially subamenable, sofic and hence hyperlinear) but does not have Kirchberg’s factorization property. This group provides also an example of a sofic Kazhdan group which is not residually finite, answering a question from [ES05]. We also give an example of a group which is not initi...

We investigate the high energy behavior of SU(N) chiral Gross-Neveu model in 1 + dimensions. The is integrable and matrix elements several local operators (form factors) are known exactly. form factors show rapidity space clustering, which means factorization, if a group rapidities shifted to infinity. analyze this phenomenon for model. For factorization formulas presented explicitly.

using qcd factorization for the hadronic matrix elements, we show that existing data, inparticular the branching ratios br ( b →j/ψk) and br ( b →j/ψπ), can be accounted for in this approach.we analyze the decay b j /k( ) within the framework of qcd factorization. the calculation of therelevant hard-scattering kernels for twist-2 and twist-3 is completed. we calculate this decay in a special...

Let H be a Krull monoid with class group G and suppose that each class contains a prime divisor. Then every element a ∈ H has a factorization into irreducible elements, and the set L(a) of all possible factorization lengths for a is the set of lengths of a. We consider the system L(H) = {L(a) | a ∈ H} of all sets of lengths, and we characterize (in terms of the class group G) when L(H) is addit...

The existence of 1-factorizations an infinite complete equipartite graph K m [ n ] ${K}_{m}[n]$ (with $m$ parts size $n$ ) admitting a vertex-regular automorphism group G $G$ is known only when = 1 $n=1$ and countable (i.e., for graphs) and, in addition, finitely generated abelian order . In this paper, we show that 1-factorization under the exists if has subgroup H $H$ whose index Furthermore,...

Since it is well-known that the Vandermonde matrix is ill-conditioned, while the interpolation itself is not unstable in function space, this paper surveys the choices of other new bases. These bases are data-dependent and are categorized into discretely l2-orthonormal and continuously L2-orthonormal bases. The first one construct a unitary Gramian matrix in the space l2(X) while the late...

This note deals with the computation of the factorization number F2(G) of a finite group G. By using the Möbius inversion formula, explicit expressions of F2(G) are obtained for two classes of finite abelian groups, improving the results of Factorization numbers of some finite groups, Glasgow Math. J. (2012). MSC (2010): Primary 20D40; Secondary 20D60.