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2.50 (1966)

Solved

(A. Selberg). Let $\Gamma$ be an irreducible discrete subgroup of a connected Lie group $G$ such that the factor space $G/\Gamma$ is non-compact but has finite volume in the Haar measure. Prove that $\Gamma$ contains a non-trivial unipotent element.

Contributor: V. P. Platonov

Progress

This is proved (D. A. Kazhdan, G. A. Margulis, Math. USSR–Sb., 4 (1968), 147–152).

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