Solvable groups definable in o-minimal structures

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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.
43 pages, submitted

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http://salesiana.dossiersoluciones.com/handle/123456789/60516

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0012041
 http://arxiv.org/abs/math/0012041

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arXiv