23 citations · 112 across the 42 of their papers we have counts for
56 papers
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…
The theory of nonabelian free groups has no model companion
Olga Kharlampovich, Rizos Sklinos
We prove that the first-order theory of nonabelian free groups does not admit a model companion.
Equations in Products of Free Groups and 3-Manifold Groups II: Olshanskii Epimorphisms
Olga Kharlampovich, Alina Vdovina
In 1989 Olshanskii introduced a three-parameter family of coordinate-surjective homomorphisms from the genus-two surface group to a direct product of two rank-two free groups. When…
Equations in Products of Free Groups and 3-Manifold Groups, I
Olga Kharlampovich, Alina Vdovina
Perelman's proof of the Poincare conjecture shows that every simply connected closed 3-manifold is homeomorphic to the 3-sphere. The fundamental groups of 3-manifolds attract lots…
On the first-order genus of wreath products and their central extensions
Olga Kharlampovich, Alexei Miasnikov, Denis Osin
We prove that groups of the form , where , are regularly bi-interpretable with and therefore are first-order ri…
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.