English

A Kazhdan group with an infinite outer automorphism group

Representation Theory 2011-10-18 v1

Abstract

D. Kazhdan has introduced in 1967 the Property (T) for local compact groups. In this article we prove that for n3n\geq 3 and mNm \in \mathbb{N} the group SLn(K)Mn,m(K)SL_n(\textbf{K})\ltimes \mathcal{M}_{n,m}(\textbf{K}) is a Kazhdan group having the outer automorphism group infinite.

Cite

@article{arxiv.1110.3407,
  title  = {A Kazhdan group with an infinite outer automorphism group},
  author = {Traian Preda},
  journal= {arXiv preprint arXiv:1110.3407},
  year   = {2011}
}
R2 v1 2026-06-21T19:20:45.325Z