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Mostrando ítems 1-10 de 11
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
On the idempotency of some composite functors
(Springer, 2012-01)
We present examples of localization functors whose composition with certain cellularization functors is not idempotent, and vice versa.
Artículo
Homotopy idempotent functors on classifying spaces
(American Mathematical Society, 2015-02)
Fix a prime p. Since their definition in the context of Localization Theory, the homotopy functors PBZ/p and CWBZ/p have shown to be powerful tools to understand and describe the mod p structure of a space. In this paper, ...
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 ...
Artículo
Cellular properties of nilpotent spaces
(Mathematical Sciences Publishers, 2015-10)
We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use ...
Artículo
Cryptography with right-angled Artin groups
(Polish Academy of Sciences, 2016)
In this paper we propose right-angled Artin groups as a platform for secret sharingschemes based on the efficiency (linear time) of the word problem. Inspired by previous work of Grigoriev-Shpilrain in the context of ...
Artículo
Homogeneity test for functional data
(Taylor & Francis, 2017)
In the context of functional data analysis, we propose new two sample tests for homogeneity. Based on some well-known depth measures, we construct four different statistics in order to measure distance between the two ...
Artículo
The cellular structure of the classifying spaces of finite groups
(Springer, 2011-08)
In this paper we obtain a description of the BZ/p-cellularization (in the sense of Dror-Farjoun) of the classifying spaces of all finite groups, for all primes p.
Artículo
Cellular covers of local groups
(Springer, 2018-12)
We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.
Artículo
Polynomial braid combing
(Oxford University Press, 2018)
We prove that, for n ≥ 3, the minimal dimension of a model of the classifying space of the braid group Bn, and of the pure braid group Pn, with respect to the family of virtually cyclic groups is n.