English

Some questions on subgroups of 3-dimensional Poincar\'e duality groups

Group Theory 2026-05-15 v3

Abstract

We state a number of open questions on 3-dimensional Poincar\'e duality groups and their subgroups, motivated by considerations from 3-manifold topology.

Keywords

Cite

@article{arxiv.1608.01407,
  title  = {Some questions on subgroups of 3-dimensional Poincar\'e duality groups},
  author = {J. A. Hillman},
  journal= {arXiv preprint arXiv:1608.01407},
  year   = {2026}
}

Comments

This paper had a low-key existence on my University of Sydney web page. As I am now retired, I decided to make it more accessible through the arXiv. In v2, we have updated this material, and added the content of a 2018 Luminy conference {]\it Structure of 3-Manifold Groups}. In v3, the title has been corrected, and other minor improvements made

R2 v1 2026-06-22T15:11:50.470Z