On solvable compact Clifford-Klein forms

Bocheński, Maciej; Tralle, Aleksy

doi:10.1090/proc/13370

On solvable compact Clifford-Klein forms
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by Maciej Bocheński and Aleksy Tralle PDF

Proc. Amer. Math. Soc. 145 (2017), 1819-1832 Request permission

Erratum: Proc. Amer. Math. Soc. 148 (2020), 2743-2744.

Abstract:

In this article we prove that under certain assumptions, a reductive homogeneous space $G/H$ does not admit a solvable compact Clifford-Klein form. This generalizes the well known non-existence theorem of Benoist for nilpotent Clifford-Klein forms. This generalization works for a particular class of homogeneous spaces determined by “very regular” embeddings of $H$ into $G$.

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