English

A 3-manifold group which is not four dimensional linear

Geometric Topology 2012-10-12 v1 Group Theory

Abstract

We give examples of closed orientable graph 3-manifolds with fundamental group which is not a subgroup of GL(4,k) for any field k. This answers a question in the Kirby problem list from 1977 which is credited to the late William Thurston.

Keywords

Cite

@article{arxiv.1210.3068,
  title  = {A 3-manifold group which is not four dimensional linear},
  author = {J. O. Button},
  journal= {arXiv preprint arXiv:1210.3068},
  year   = {2012}
}
R2 v1 2026-06-21T22:19:40.865Z