English

On property (T) for automorphism groups of graph products

Group Theory 2019-02-13 v1

Abstract

We show that the automorphism group of a graph product of finite groups Aut(GΓ)Aut(G_\Gamma) has Kazhdan's property (T) if and only if Γ\Gamma is a complete graph.

Keywords

Cite

@article{arxiv.1902.04370,
  title  = {On property (T) for automorphism groups of graph products},
  author = {Nils Leder and Olga Varghese},
  journal= {arXiv preprint arXiv:1902.04370},
  year   = {2019}
}