Classifying spaces for the family of virtually cyclic subgroups of braid groups

2016/11/07 by Ramón Flores, Flores, Ramón, Juan González-Meneses +1
Mathematics · #20F36 (Primary) 55R35 (Secondary) #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1611.02187

openalex publication_date 2016/11/07 · openalex created_date 2016/11/30 · openalex updated_date 2026/07/28

Abstract

We prove that, for n≥ 3, the minimal dimension of a model of the classifying space of the full braid group B_n, and of the pure braid group P_n, with respect to the family of virtually cyclic groups is n.

Citations

• On Bredon (Co-)Homological Dimensions of Groups

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• The Virtually Cyclic Classifying Space of the Heisenberg Group
• On the virtually cyclic dimension of normally poly-free groups
• On The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group
• On the finiteness of the classifying space for the family of virtually cyclic subgroups