On the virtually-cyclic dimension of surface braid groups and\n right-angled Artin groups

2018/04/10 by Alejandra Trujillo-Negrete, Trujillo-Negrete, Alejandra
Mathematics · #20F65 #55R35 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1804.03716

openalex publication_date 2018/04/10 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28

Abstract

We give a bound for the virtually cyclic dimension of groups with a normal\nsubgroup of finite index which satisfies that every infinite virtually-cyclic\nsubgroup is contained in a unique maximal such subgroup. As an application we\nprovide a bound for the virtually-cyclic dimension for the braid group of a\nclosed surface with genus greater than 2 and for right-angled Artin groups.\n

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