Superrosy dependent groups having finitely satisfiable generics

Clifton Ealy; Krzysztof Krupinski; Anand Pillay

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arXiv · 0706.0486

Superrosy dependent groups having finitely satisfiable generics

Clifton Ealy·Krzysztof Krupinski·Anand Pillay

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Abstract

We study a model theoretic context (finite thorn rank, NIP, with finitely satisfiable generics) which is a common generalization of groups of finite Morley rank and definably compact groups in o-minimal structures. We show that assuming thorn rank 1, the group is abelian-by-finite, and assuming thorn rank 2 the group is solvable by finite. Also a field is algebraically closed.

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BibTeX RIS

Clifton Ealy, Krzysztof Krupinski, Anand Pillay. 2007-06-04. Superrosy dependent groups having finitely satisfiable generics. https://arxiv.org/abs/0706.0486

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