Solvable groups definable in o-minimal structures

Details Solvable groups definable in o-minimal structures Solvable groups definable in o-minimal structures

2000-12-06

arxiv.org/abs/math/0012041v2

Mathematics

Logic

43 pages, submitted

Scientific paper

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.

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