Stabilizers of Stationary Actions of Lattices in Semisimple Groups

2020/10/27 by Darren Creutz, Creutz, Darren
Computer Science · Mathematics · #Coding theory and cryptography #Dynamical Systems (math.DS) #FOS: Mathematics #Finite Group Theory Research #Primary 22E40 Secondary 22F10 #Rings, Modules, and Algebras #math.DS #msc:22E40 #msc:22F10

paper · pdf · doi:10.48550/arxiv.2010.13987

openalex publication_date 2020/10/27 · arxiv created 2022/01/04 · arxiv updated 2022/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Every stationary action of a strongly irreducible lattice or commensurator of such a latiice in a general semisimple group, with at least one higher-rank connected factor, either has finite stabilizers almost surely or finite index stabilizers almost surely.

Related

• Stabilizers of Ergodic Actions of Lattices and Commensurators
• Non-uniform higher-rank lattices are character rigid
• Character rigidity for lattices and commensurators
• Stability and instability of lattices in semisimple groups
• Unipotent Subgroups of Stabilizers