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Preprint Number 76

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76. Clifton Ealy, Krzysztof Krupinski, and Anand Pillay
Superrosy dependent groups having finitely satisfiable generics
E-mail: , ,

Submission date: 30 May 2007

Abstract:

We study a certain model-theoretic context: groups of finite thorn rank which have NIP and fsg. This context includes both groups of finite Morley rank and definably compact groups in o-minimal structures. We prove that if G has thorn rank 1 then G is abelian-by-finite, if G is thorn rank 2 then G is solvable-by finite and if G is a field then it is algebraically closed.

Mathematics Subject Classification: 03C45, 03C60

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