English

An Improper Surface Group Action

Group Theory 2025-12-24 v1 Geometric Topology

Abstract

In 1999, Long and Reid proposed a proper action of a surface group on a product of trees. In this note, we show that the action is not proper.

Cite

@article{arxiv.2512.19760,
  title  = {An Improper Surface Group Action},
  author = {Nic Brody},
  journal= {arXiv preprint arXiv:2512.19760},
  year   = {2025}
}
R2 v1 2026-07-01T08:37:33.263Z