English

Virtually cyclic dimension for 3-manifold groups

Geometric Topology 2024-12-02 v1 Algebraic Topology Group Theory

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.

Keywords

Cite

@article{arxiv.1904.04632,
  title  = {Virtually cyclic dimension for 3-manifold groups},
  author = {Kyle Joecken and Jean-François Lafont and Luis Jorge Sánchez Saldaña},
  journal= {arXiv preprint arXiv:1904.04632},
  year   = {2024}
}
R2 v1 2026-06-23T08:34:08.422Z