We study the properties of groups that have presentations in which generating set is a fixed involutions and all additional relations are even length. consider parabolic subgroups such group show every element has factorization with respect to given subgroup. Furthermore, we give counterexample, using cluster presentation, demonstrates this not necessarily unique.

If G is a nite abelian group and n > 1 is an integer, we say that G is n-good, if from each factorizationG = A1A2 An of G into direct product of subsets, it follows that at least one of the subsets Ai is periodic, in the sense that there exists x 2 G feg such that xAi = Ai. In this paper, we shall study some 3-groups with respect to this property. Acta Mathematica Academiae Paedagogicae Ny regy...

The extensive analysis of the dynamics relativistic spinning particles is presented. Using coadjoint orbits method Hamiltonian explicitly described. main technical tool factorization general Lorentz transformation into pure boost and rotation. equivalent constrained on Poincare group (viewed as configuration space) derived complete classification constraints performed. It shown that first class...

in this paper, we extend some propositions of banachalgebras into module actions and establish the relationships betweentopological centers of module actions. we introduce some newconcepts as                         -property and -property for banach modules and obtain some conclusions inthe topological center of module actions and arens regularity of banachalgebras.

The traditional subspace-based approaches to segmentation (often referred to as multi-body factorization approaches) provide spatial clustering/segmentation by grouping together points moving with consistent motions. We are exploring a dual approach to factorization, i.e., obtaining temporal clustering/segmentation by grouping together frames capturing consistent shapes. Temporal cuts are thus ...

In past decades, tremendous growths in the amount of text documents and images have become omnipresent, and it is very important to group them into clusters upon desired. Recently, matrix factorization based techniques, such as Non-negative Matrix Factorization (NMF) and Concept Factorization (CF), have yielded impressive results for clustering. However, both of them effectively see only the gl...

I review the known approaches to two-body nonleptonic B meson decays, including factorization assumption, modified factorization assumption, QCD factorization, and perturbative QCD factorization. Important phenomenological aspects of these approaches are emphasized.