The Jordan property for Lie groups and automorphism groups of complex spaces
Group Theory
2018-04-18 v2 Algebraic Geometry
Complex Variables
Differential Geometry
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 groups (not necessarily affine) over fields of characteristic zero and some transformation groups of complex spaces and Riemannian manifods are Jordan.
Cite
@article{arxiv.1804.00323,
title = {The Jordan property for Lie groups and automorphism groups of complex spaces},
author = {Vladimir L. Popov},
journal= {arXiv preprint arXiv:1804.00323},
year = {2018}
}
Comments
11 pages. Theorem 7 and two references added