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Co-compact lattices in complete Kac-Moody groups with Weyl group right-angled or a free product of spherical special subgroups
Let G be a complete Kac-Moody group of rank n ≥ 2 over the finite field of order q, with Weyl group W and building Δ.We first show that if W is right-angled, then for all q ≡ 1 (mod 4) the group G admits a cocompact lattice Γ which …