Approximate Lattices in Higher-Rank Semi-Simple Groups

2020/11/03 by Machado, Simon
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2011.01835

Abstract

We show that strong approximate lattices in higher-rank semi-simple algebraic groups are arithmetic.

Related

• On strong approximation for algebraic groups
• Arithmetic purity of strong approximation for semi-simple simply connected groups
• Higher finiteness properties of arithmetic approximate lattices: The Rank Theorem for number fields
• Arithmetic aspects of self-similar groups
• The structure of approximate lattices in linear groups