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20132019
most citedOn the quasi-isometric rigidity of graphs of surface groups

2 citations · 2 across the 1 of their papers we have counts for

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3 papers

math.GR2019★ 2 cited

On the quasi-isometric rigidity of graphs of surface groups

Alexander Taam, Nicholas W. M. Touikan

Let be a word hyperbolic group with a cyclic JSJ decomposition that has only rigid vertex groups, which are all fundamental groups of closed surface groups. We show that any gr…

math.GR2015

Effective construction of covers of canonical Hom-diagrams for equations over torsion-free hyperbolic groups

Olga Kharlampovich, Alexei Myasnikov, Alexander Taam

We show that, given a finitely generated group as the coordinate group of a finite system of equations over a torsion-free hyperbolic group , there is an algorithm which con…

math.GR2013

Quadratic Equations in Hyperbolic Groups are NP-complete

Olga Kharlampovich, Atefeh Mohajeri, Alex Taam +1

We prove that in a torsion-free hyperbolic group , the length of the value of each variable in a minimal solution of a quadratic equation is bounded by for an ori…