Solvable groups definable in o-minimal structures

[摘要] 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 X-definable G-modules and N-definable rings. (C) 2003 Elsevier B.V. All rights reserved.

[发布日期] 2003-12-01