Arithmetic Groups and the Lehmer Conjecture
Group Theory
2021-09-21 v2 Number Theory
Abstract
We generalize a result of Sury and prove that uniform discreteness of cocompact lattices in higher rank semisimple Lie groups (first conjectured by Margulis) is equivalent to a weak form of Lehmer's conjecture. We include a short survey of related results and conjectures.
Cite
@article{arxiv.2005.13726,
title = {Arithmetic Groups and the Lehmer Conjecture},
author = {Lam Pham and François Thilmany},
journal= {arXiv preprint arXiv:2005.13726},
year = {2021}
}
Comments
18 pages