Proper actions on corank-one reductive homogeneous spaces

Details Proper actions on corank-one reductive homogeneous spaces Proper actions on corank-one reductive homogeneous spaces

2008-07-24

arxiv.org/abs/0807.3980v3

J. Lie Theory 18 (2008), p. 961-978

Mathematics

Group Theory

17 pages

Scientific paper

Let k be a local field and G the set of k-points of a connected semisimple algebraic k-group of rank one. We describe all torsion-free discrete subgroups of G\times G acting properly discontinuously on G by left and right multiplication. To this end, we prove a general result on the Cartan projection of discrete groups acting properly discontinuously on corank-one reductive homogeneous spaces over k.

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