Superrosy dependent groups having finitely satisfiable generics

Details Superrosy dependent groups having finitely satisfiable generics Superrosy dependent groups having finitely satisfiable generics

2007-06-04

arxiv.org/abs/0706.0486v1

Mathematics

Logic

Scientific paper

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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