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arXiv · 2005.13726

Arithmetic Groups and the Lehmer Conjecture

Lam Pham·François Thilmany
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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.

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Lam Pham, François Thilmany. 2020-05-28. Arithmetic Groups and the Lehmer Conjecture. https://arxiv.org/abs/2005.13726

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