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math.LO2008★ 2 cited
Superstable groups acting on trees
Abderezak Ould Houcine
We study superstable groups acting on trees. We prove that an action of an -stable group on a simplicial tree is trivial. This shows that an HNN-extension or a nontrivial free p…
math.LO2008★ 2 cited
On Finitely Generated Models of Theories with at Most Countably Many Nonisomorphic Finitely Generated Models
Abderezak Ould Houcine
We study finitely generated models of countable theories, having at most countably many nonisomorphic finitely generated models. We intro- duce a notion of rank of finitely generat…