Residual finiteness and discrete subgroups of Lie groups

Matthew Stover

Residual finiteness and discrete subgroups of Lie groups

Group Theory 2025-01-27 v2 Geometric Topology Number Theory

Authors: Matthew Stover

Abstract

Let $G$ be a real Lie group and $\Gamma < G$ be a discrete subgroup of $G$ . Is $\Gamma$ residually finite? This paper describes known positive and negative results then poses some questions whose answers will lead to a fairly complete answer for lattices.

Keywords

residual finiteness discrete subgroups Lie groups lattices finite quotients

Cite

@article{arxiv.2407.07680,
  title  = {Residual finiteness and discrete subgroups of Lie groups},
  author = {Matthew Stover},
  journal= {arXiv preprint arXiv:2407.07680},
  year   = {2025}
}

Comments

Minor corrections. To appear in the proceedings of the conference "Zariski dense subgroups, number theory and geometric applications"

Residual finiteness and discrete subgroups of Lie groups

Abstract

Keywords

Cite

Comments

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