English

Involution and commutator length for complex hyperbolic isometries

Geometric Topology 2016-04-11 v1

Abstract

We study decompositions of complex hyperbolic isometries as products of involutions. We show that PU(2,1) has involution length 4 and commutator length 1, and that for all n3n \geqslant 3 PU(nn,1) has involution length at most 8.

Cite

@article{arxiv.1604.02159,
  title  = {Involution and commutator length for complex hyperbolic isometries},
  author = {Julien Paupert and Pierre Will},
  journal= {arXiv preprint arXiv:1604.02159},
  year   = {2016}
}

Comments

32 pages, 22 figures

R2 v1 2026-06-22T13:27:45.673Z