English

The Kropholler Conjecture

Group Theory 2023-11-27 v2 Geometric Topology

Abstract

The first version of this paper gave another proof of the Kropholler Conjecture, which gives a relative version of Stallings Ends Theorem, following an earlier incorrect proof. It has been pointed out by Sam Shepherd that the the second proof was still inadequate. We explain the difficulty and possible ways to obtain a correct proof.

Keywords

Cite

@article{arxiv.2205.04375,
  title  = {The Kropholler Conjecture},
  author = {M. J. Dunwoody},
  journal= {arXiv preprint arXiv:2205.04375},
  year   = {2023}
}
R2 v1 2026-06-24T11:11:42.607Z