Showing math.GRShow all
3 papers · 1 filter
math.GR2026
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…
math.GR2026
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…
math.GR2024
Quantifying separability in RAAGs via representations
Olga Kharlampovich, Alina Vdovina
We answer the question asked by Louder, McReynolds and Patel, and prove the following statement. Let L be a RAAG, H a word quasiconvex subgroup of L, then there is a finite dimensi…