35 citations · 87 across the 23 of their papers we have counts for
8 papers · 1 filter
Uniform small cancellation in torsion-free hyperbolic groups
Olga Kharlampovich, Rizos Sklinos
We establish a uniform small cancellation theorem for non-elementary torsion-free hyperbolic groups: given any prescribed small cancellation constant, finitely many fixed words suf…
First-order sentences in random groups III
Olga Kharlampovich, Alexei Miasnikov, Rizos Sklinos
We show that a first-order sentence is almost surely true in a random group of density d<1/2 if and only if it is true in a non-abelian free group.
Profinite rigidity of affine Coxeter groups
Gianluca Paolini, Rizos Sklinos
We prove that the irreducible affine Coxeter groups are first-order rigid and deduce from this that they are profinitely rigid in the absolute sense. We then show that the first-or…
First-order sentences in random groups I: universal sentences
O. Kharlampovich, R. Sklinos
We prove that a random group, in Gromov's density model with , satisfies a universal sentence (in the language of groups) if and only if is true in a nonabelian fre…
Towers and the first-order theory of hyperbolic groups
Vincent Guirardel, Gilbert Levitt, Rizos Sklinos
This paper is devoted to the first-order theory of torsion-free hyperbolic groups. One of its purposes is to review some results and to provide precise and correct statements and d…
Forking and JSJ decompositions in the free group II
Chloé Perin, Rizos Sklinos
We give a complete characterization of the forking independence relation over any set of parameters in the free groups of finite rank, in terms of the decompositions relative…