Let G be a semisimple algebraic Q-group, let Gamma be an arithmetic subgroup of G, and let T be an R-split torus in G. We prove that if there is a divergent T-R-orbit in GammaG(R), and Q-rank G <= 2, then dim T <= Q-rank G. This provides a partial answer to a question of G. Tomanov and B. Weiss.
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机译：令G为半简单的代数Q群，令Gamma为G的算术子群，令T为G中的R分裂圆环。我们证明，如果在Gamma G（R）中存在发散的TR轨道，和Q-rank G <= 2，然后暗淡T <= Q-rankG。这部分回答了G. Tomanov和B. Weiss的问题。
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