Solvable Subgroups of Locally Compact Groups
Group Theory
2011-02-19 v1 Differential Geometry
Abstract
It is shown that a closed solvable subgroup of a connected Lie group is compactly generated. In particular, every discrete solvable subgroup of a connected Lie group is finitely generated. Generalizations to locally compact groups are discussed as far as they carry.
Cite
@article{arxiv.0801.4234,
title = {Solvable Subgroups of Locally Compact Groups},
author = {Karl Heinrich Hofmann and Karl-Hermann Neeb},
journal= {arXiv preprint arXiv:0801.4234},
year = {2011}
}