Solvable groups definable in o-minimal structures

Edmundo, Mário Jorge

http://hdl.handle.net/10400.2/2756

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Authors

Edmundo, Mário Jorge

Abstract(s)

In this paper we develop group extension theory over an o-minimal structure N and use it to describe N-definable solvable groups. We prove an o-minimal analogue of the Lie-Kolchin-Mal'cev theorem and we describe N-definable G-modules and N-definable rings.

Keywords

O-minimal structures Definable groups

URI

http://hdl.handle.net/10400.2/2756

Citation

Edmundo, Mário Jorge - Solvable groups definable in o-minimal structures. "Journal of Pure and Applied Algebra" [Em linha]. ISSN 0022-4049. Vol. 185, nº 1-3 (Dez. 2003), p. 1-60