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Working paper

The Jordan property for Lie groups and automorphism groups of complex spaces

arxiv.org. math. Cornell University, 2018. No. 1804.00323v1.
We prove that the family of all connected n-dimensional real Lie groups is uniformly Jordan for every n. This  implies that all algebraic groups (not  necessarily affine) over fields of cha\-racte\-ristic zero and some transformation groups of complex spaces and Riemannian manifods are Jordan.