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2.49 (1966)

Solved

(A. Selberg). Let $G$ be a connected semisimple linear Lie group whose corresponding symmetric space has rank greater than 1, and let $\Gamma$ be an irreducible discrete subgroup of $G$ such that $G/\Gamma$ has finite volume. Does it follow that $\Gamma$ is an arithmetic subgroup?

Contributor: V. P. Platonov

Progress

Yes, it does (G. A. Margulis, Functional Anal. Appl., 8 (1974), 258–259).

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