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arXiv:2005.13726 [math.GR]AbstractReferencesReviewsResources

Arithmetic Groups and the Lehmer Conjecture

Lam Pham, François Thilmany

Published 2020-05-28Version 1

In this paper, we generalize a result of Sury and show that uniform discreteness of cocompact lattices in higher rank semisimple Lie groups is equivalent to a weak form of Lehmer's conjecture. We also survey some related conjectures.

Comments: 16 pages
Categories: math.GR, math.NT
Subjects: 22E40, 20G30, 11E57
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