Abstract:
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.
Keywords:Jordan group, bounded group, Lie group,
algebraic group, automorphism group
of complex space, isometry group
of Riemannian manifold.
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