Counting lattices in simple Lie groups: the positive characteristic case

Details Counting lattices in simple Lie groups: the positive characteristic case Counting lattices in simple Lie groups: the positive characteristic case

2011-09-29

arxiv.org/abs/1109.6427v1

Mathematics

Group Theory

Scientific paper

In this article we prove a conjecture of A. Lubotzky: let G = G_0(K), where K is a local field of characteristic p>5, G_0 is a simply connected, absolutely almost simple K-group of K-rank at least 2. We give the rate of growth of r_x(G) :={H< G| H a lattice in G; vol(G/H)

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