Abstract
We prove that if {Mathematical expression} is the K-rational points of a K-rank one semisimple group {Mathematical expression} over a non archimedean local field K, then G has cocompact non-arithmetic lattices and if char(K)>0 also non-uniform ones. We also give a general structure theorem for lattices in G, from which we confirm Serre's conjecture that such arithmetic lattices do not satisfy the congruence subgroup property.
Original language | English |
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Pages (from-to) | 405-431 |
Number of pages | 27 |
Journal | Geometric and Functional Analysis |
Volume | 1 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1991 |