In the present work, we deal with concepts of geometrical equivalence of universal algebras. We concentrate our attention on geometrical equivalence of group representations. In this case one can speak about (full) ...

Let Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation ...

We propose a new metaheuristic algorithm to find “good” solutions for the assignment of small treatment-control groups, minimising the random resource. Using simulated cases, we achieved 100% groups with equivalence levels ...

En el presente estudio se investiga la influencia de la estructura de entrenamiento en la formación de relaciones de equivalencia y de “equivalencia-equivalencia”. Se estudiaron tres grupos de sujetos los cuales fueron ...

Given a lattice Gamma subset of SOL, we show there is a uniformly discrete coarsely dense subset D subset of Gamma that is not bi-Lipschitz equivalent to Gamma. We also prove similar results for lattices in certain higher ...

We extend Oprea's result that the Gottlieb group G1(S2n+1/H) is ZH (the center of H) and show that for a map f: A → S2n+1/H, under some conditions on A, we have G1 f (S2n+1/H) = ZHf*(π1(A)), the centralizer of the image ...