English

A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields

Geometric Topology 2018-03-16 v1

Abstract

Let GG be a non-elementary discrete subgroup of Sp(2,1)\mathrm{Sp}(2,1). We show that if the sum of diagonal entries of each element of GG is a complex number, then GG is conjugate to a subgroup of U(2,1)\mathrm{U}(2,1).

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Cite

@article{arxiv.1612.08322,
  title  = {A characterization of quaternionic Kleinian groups in dimension 2 with complex trace fields},
  author = {Sungwoon Kim and Joonhyung Kim},
  journal= {arXiv preprint arXiv:1612.08322},
  year   = {2018}
}
R2 v1 2026-06-22T17:34:20.323Z