Abstract
For G=PGL2(ℚ p )×PGL2 ℚ we study the closures of orbits under the maximal split Cartan subgroup of G in homogeneous spaces Γ\G. We show that if a closure of an orbit contains a closed orbit then the orbit is either dense or closed. We show the relation of this to divisibility properties of integral quaternions and other lattices.
Original language | American English |
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Pages (from-to) | 195-209 |
Number of pages | 15 |
Journal | Israel Journal of Mathematics |
Volume | 86 |
Issue number | 1-3 |
DOIs | |
State | Published - Oct 1994 |
Externally published | Yes |