English

On Kazhdan's property (T) for isotropic reductive groups

Group Theory 2016-02-10 v1

Abstract

We show that the standard set of elementary generators of an elementary isotropic reductive group over a connected finitely generated ring is a Kazhdan subset. This generalizes the corresponding result of M. Ershov, A. Jaikin-Zapirain, and M. Kassabov for Chevalley and twisted Chevalley groups.

Keywords

Cite

@article{arxiv.1602.03162,
  title  = {On Kazhdan's property (T) for isotropic reductive groups},
  author = {Anastasia Stavrova},
  journal= {arXiv preprint arXiv:1602.03162},
  year   = {2016}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1512.00354, arXiv:1404.7587

R2 v1 2026-06-22T12:47:02.882Z