2 papers
math.GR2020
Arithmetic Groups and the Lehmer Conjecture
Lam Pham, François Thilmany
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 wea…
math.GR2017
Lattices of minimal covolume in SL_n(R)
François Thilmany
The objective of this paper is to determine the lattices of minimal covolume in SL_n(R), for n greater than 3. The answer turns out to be the simplest one: SL_n(Z) is, up to automo…