PermalinkSubmitted by barakw on Tue, 06/27/2017 - 09:39

The more commonly used term here instead of nilpotent is "quasi-unipotent". By using ideas related to Schmidt games, in the joint paper with Dmitry Kleinbock, "Modified Schmidt games and a conjecture of Margulis," J. Mod. Dyn. 7 (2013) we show that elements which are not quasiunipotent have orbits which miss open sets and thus cannot act minimally. I imagine there are simpler proofs in the literature, e.g. in earlier papers of Starkov and Kleinbock-Margulis.

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## The more commonly used term

The more commonly used term here instead of nilpotent is "quasi-unipotent". By using ideas related to Schmidt games, in the joint paper with Dmitry Kleinbock, "Modified Schmidt games and a conjecture of Margulis," J. Mod. Dyn.

7(2013) we show that elements which are not quasiunipotent have orbits which miss open sets and thus cannot act minimally. I imagine there are simpler proofs in the literature, e.g. in earlier papers of Starkov and Kleinbock-Margulis.## Add a new comment