Classifying Spaces for the Family of Virtually Cyclic Subgroups of Braid Groups-Reference-Cited by-同舟云学术

Classifying Spaces for the Family of Virtually Cyclic Subgroups of Braid Groups

Published:2018-04-18 Issue:5 Volume:2020 Page:1575-1600
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Flores Ramón¹,González-Meneses Juan²

Affiliation:

1. Dpto. Geometría y Topología, Facultad de Matemáticas, Instituto de Matemáticas (IMUS), Universidad de Sevilla, Sevilla, Spain

2. Dpto. Álgebra, Facultad de Matemáticas, Instituto de Matemáticas (IMUS), Universidad de Sevilla, Sevilla, Spain

Abstract

Abstract We prove that, for n ≥ 3, the minimal dimension of a model of the classifying space of the braid group $B_{n}$, and of the pure braid group $P_{n}$, with respect to the family of virtually cyclic groups is n.

Funder

Ministerio de Economía y Competitividad

Fondo Europeo de Desarrollo Regional

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/5/1575/33049534/rny067.pdf

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