Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 76

Preprint Number 76

Previous Next Preprint server

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

Submission date: 30 May 2007


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

Full text: pdf.

Last updated: March 23 2021 10:23 Please send your corrections to: