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Mostrando ítems 1-10 de 15
Artículo
On the classifying space for proper actions of groups with cyclic torsion
(De Gruyter, 2014-01)
In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with aspherical presentation, one-relator ...
Artículo
K-homology and K-theory for the lamplighter groups of finite groups
(London Mathematical Society, 2017-08)
Let F be a finite group. We consider the lamplighter group L = F ≀ Z over F. We prove that L has a classifying space for proper actions EL which is a complex of dimension 2.We use this to give an explicit proof of the ...
Ponencia
Combinatorial structures of three vertices and Lie algebras
(Computational and Mathematical Methods in Science and Engineering, 2011)
In this paper, we characterize digraphs of 3 vertices associated with Lie algebras according to isomorphism classes of these associated Lie algebras. At this respect, we introduce and implement two algorithmic methods: the ...
Artículo
Irreducible triangulations of the once-punctured torus
(Sobolev Institute of Mathematics, 2018)
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. A ...
Artículo
On manifolds with nonhomogeneous factors
(Springer, 2012-06)
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old ...
Artículo
Generalized (κ,μ)-space forms
(Springer, 2013-02)
Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
Artículo
Relations between combinatorial structures and Lie algebras: centers and derived Lie algebras
(Springer, 2015-04)
In this paper, we study how two important ideals of a given Lie algebra g (namely, the center Z(g) and the derived Lie algebra D(g)) can be translated into the language of Graph Theory. In this way, we obtain some criteria ...
Artículo
Relating the Freiheitssatz to the asymptotic behavior of a group
(European Mathematical Society, 2013)
We are concerned with the implications of the Freiheitssatz property for certain group presentations in terms of proper homotopy invariants of the underlying group, by describing its fundamental pro-group. A finitely ...
Artículo
On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras
(Elsevier, 2014-02)
In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maximal abelian subalgebras of solvable Lie ...
Artículo
Irreducible triangulations of the Möbius band
(Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2014)
A complete list of irreducible triangulations is identified on the Möbius band.