The Jordan Property for Lie Groups and Automorphism Groups of Complex Spaces
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We prove that the family of all connected n-dimensional real Lie groups is uniformly Jordan for every n. This implies that all algebraic (not necessarily affine) groups over fields of characteristic zero and some transformation groups of complex spaces and Riemannian manifolds are Jordan.
KeywordsJordan group bounded group Lie group algebraic group automorphism group of complex space isometry group of Riemannian manifold
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