On discrete Zariski-dense subgroups of algebraic groups

1993/11/14 by Winkelmann, J.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9311004

Abstract

We investigate for which linear-algebraic groups (over the complex numbers or any local field) there exists subgroups which are dense in the Zariski topology, but discrete in the Hausdorff topology. For instance, such subgroups exist for every non-solvable complex group.

Related

• Holomorphic functions on an algebraic group invariant under a Zariski-dense subgroup
• Discrete Linear Groups containing Arithmetic Groups
• Zariski topologies on groups
• Bi-Lipschitz rigidity of discrete subgroups
• Strongly dense free subgroups of semisimple algebraic groups II