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Lattices of minimum covolume in Chevalley groups over local fields of positive characteristic

Published 29 Sep 2011 in math.GR and math.NT | (1109.6429v1)

Abstract: In this article, we show that if G is a simply connected Chevalley group of either classical type of rank bigger than 1 or type E6, and q > 9 is a power of a prime number p > 5, then G = G(F_q((1/t))), up to an automorphism, has a unique lattice of minimum covolume, which is G(F_q[t]).

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