Arithmetic Groups and the Lehmer Conjecture

Published 28 May 2020 in math.GR and math.NT | (2005.13726v2)

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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