19 citations · 26 across the 6 of their papers we have counts for
4 papers · 1 filter
The Margulis Zimmer Conjecture for Nonuniform Arithmetic Groups
Yehuda Shalom, Tyakal Venkataramana, George Willis
We prove that every infinite subgroup of a higher rank irreducible lattice in a semi-simple Lie group has finite index in the lattice, proving the Margulis-Zimmer conjecture for th…
The congruence topology, Grothendieck duality and thin groups
Alexander Lubotzky, T. N. Venkataramana
This paper answers a question raised by Grothendieck in 1970 on the "Grothendieck closure" of an integral linear group and proves a conjecture of the first author made in 1980. Thi…
Hypergeometric Groups of Orthogonal Type
Tyakal Venkataramana
We obtain an infinite family of orthogonal hypergeometric groups, which are higher rank arithmetic groups. We also list cases of arithmetic hypergeometric groups whose real Zariski…
Image of the Burau Representation at -th Roots of unity
Tyakal N. Venkataramana
We prove that the image of the Full braid group on strands under the Burau representation, evaluated at a primitive -th root of unity is arithmetic provided $n\g…