Abstract
Let G be a linear semisimple real Lie group and H be a re- ductive subgroup of G. We give a necessary and sufficient condition for the existence of a nonabelian free discrete subgroup r of G acting properly on G/H. For instance, such a group r does exist for SL(2n, IR)/SL(2n - 1, IR) but does not for SL(2n + 1, R)/SL(2n, R) with n > 1.
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