Solvable groups definable in o-minimal structures
Logic
2007-05-23 v2
Abstract
Let N be an o-minimal structure. In this paper we develop group extension and group cohomology theory over N and use it to describe the N-definable solvable groups. We prove an o-minimal analogue of the Lie-Kolchin-Mal'cev theorem and we describe the N-definable G-modules and the N-definable rings.
Cite
@article{arxiv.math/0012041,
title = {Solvable groups definable in o-minimal structures},
author = {Mario J. Edmundo},
journal= {arXiv preprint arXiv:math/0012041},
year = {2007}
}
Comments
43 pages, submitted