Virtually cyclic dimension for 3-manifold groups

Abstract

Let G be the fundamental group of a connected, closed, orientable 3-manifold. We explicitly compute its virtually cyclic geometric dimension. Among the tools we use are the prime and JSJ decompositions of M, several push-out type constructions, as well as some Bredon cohomology computations.

References in corpus (1)

• On The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group

Cited by in corpus (3)

• On the dimension of groups that satisfy certain conditions on their finite subgroups
• On the algebraic K-theory of 3-manifold groups
• Groups acting on trees and the Eilenberg-Ganea problem for families