35 citations · 87 across the 23 of their papers we have counts for
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math.LO2012★ 9 cited
On groups and fields interpretable in torsion-free hyperbolic groups
Chloé Perin, Anand Pillay, Rizos Sklinos +1
We prove that the generic type of a non-cyclic torsion-free hyperbolic group G is foreign to any interpretable abelian group, hence also to any interpretable field. This result dep…
math.LO2012★ 6 cited
Hyperbolic towers and independent generic sets in the theory of free groups
Larsen Louder, Chloé Perin, Rizos Sklinos
We use hyperbolic towers to answer some model theoretic questions around the generic type in the theory of free groups. We show that all the finitely generated models of this theor…
math.LO2012★ 3 cited
A note on ampleness in the theory of non abelian free groups
Rizos Sklinos
Recently Ould Houcine-Tent (see arXiv:1205.0929v2 [math.GR]) proved that the theory of non abelian free groups is -ample for any . We give a sequence of single elements in…