9 citations · 12 across the 5 of their papers we have counts for
4 papers · 1 filter
Elementary subgroups of the free group are free factors - a new proof
Chloé Perin
In this note we give a new proof of the fact that an elementary subgroup (in the sense of first-order theory) of a non abelian free group must be a free factor. The pr…
Some lower bounds on Shelah rank in the free group
Javier de la Nuez González, Chloé Perin, Rizos Sklinos
We give some lower bounds on the Shelah rank of varieties in the free group whose coordinate groups are hyperbolic towers.
Forking and JSJ decompositions in the free group
Chloé Perin, Rizos Sklinos
We give a description of the model theoretic relation of forking independence in terms of the notion of JSJ decompositions in non abelian free groups.
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…