English

Free groups generated by two parabolic maps

Geometric Topology 2022-09-28 v2

Abstract

In this paper we consider a group generated by two unipotent parabolic elements of SU(2,1){\rm SU}(2,1) with distinct fixed points. We give several conditions that guarantee the group is discrete and free. We also give a result on the diameter of a finite R{\mathbb R}-circle in the Heisenberg group.

Keywords

Cite

@article{arxiv.2202.02244,
  title  = {Free groups generated by two parabolic maps},
  author = {Sagar B. Kalane and John R. Parker},
  journal= {arXiv preprint arXiv:2202.02244},
  year   = {2022}
}

Comments

24 pages

R2 v1 2026-06-24T09:20:24.076Z