English

Simplicity of twin tree lattices with non-trivial commutation relations

Group Theory 2012-09-25 v1

Abstract

We prove a simplicity criterion for certain twin tree lattices. It applies to all rank two Kac-Moody groups over finite fields with non-trivial commutation relations, thereby yielding examples of simple non-uniform lattices in the product of two trees.

Keywords

Cite

@article{arxiv.1209.5372,
  title  = {Simplicity of twin tree lattices with non-trivial commutation relations},
  author = {Pierre-Emmanuel Caprace and Bertrand Remy},
  journal= {arXiv preprint arXiv:1209.5372},
  year   = {2012}
}