Existence of irreducible R-regular elements in Zariski-dense subgroups

By Gopal Prasad, A. Rapinchuk. 2003

65 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/21ffbe8122c138f646e90432d2e09ebb2c78c927

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. Gopal Prasad
2. A. Mohammadi
3. A. Rapinchuk
4. H. Oh
5. L. Funar
6. Harald Andrés Helfgott
7. Alexander Gorodnik
8. Akshay Venkatesh

In Geometry and Topology

1. A. Mohammadi
2. Gopal Prasad
3. Gregory Margulis
4. A. Rapinchuk
5. H. Oh
6. L. Funar
7. Peter Sarnak
8. Alexander Gorodnik

In Mathematical Physics

1. H. Oh
2. A. Mohammadi
3. Gregory Margulis
4. A. Rapinchuk
5. Gopal Prasad
6. Alexander Gorodnik
7. Akshay Venkatesh
8. Y. Benoist

Citations in the corpus

• Closed geodesics and holonomies for Kleinian manifolds (2014, result): “The aforementioned result of Prasad and Rapinchuk says that any Zariski dense subgroup Γ contains a hyperbolic element γ such that the argument of the complex number λγ is an irrational multiple of π [17].”
• Local-global principles for embedding of fields with involution into simple algebras with involution (2008, methodology): “Combining this corollary with the results of [22], we obtain the following stronger assertion, which we will need in §9.”