English

Non-arithmetic hybrid lattices in $\mathrm{PU}(2,1)$

Geometric Topology 2019-05-30 v1 Group Theory

Abstract

We explore hybrid subgroups of certain non-arithmetic lattices in PU(2,1)\mathrm{PU}(2,1). We show that all of Mostow's lattices are virtually hybrids; moreover, we show that some of these non-arithmetic lattices are hybrids of two non-commensurable arithmetic lattices in PU(1,1)\mathrm{PU}(1,1).

Keywords

Cite

@article{arxiv.1905.12184,
  title  = {Non-arithmetic hybrid lattices in $\mathrm{PU}(2,1)$},
  author = {Joseph Wells},
  journal= {arXiv preprint arXiv:1905.12184},
  year   = {2019}
}
R2 v1 2026-06-23T09:30:37.793Z