41 citations · 54 across the 5 of their papers we have counts for
6 papers
On fully residually- groups
Inna Bumagin, Ming Ming Zhang
We consider the class of finitely generated toral relatively hyperbolic groups. We show that groups from are commutative transitive and generalize a the…
Time complexity of the conjugacy problem in relatively hyperbolic groups
Inna Bumagin
If and are two conjugate elements of a hyperbolic group then the length of a shortest conjugating element for and can be bounded by a linear function of the sum of…
Effective coherence of groups discriminated by a locally quasi-convex hyperbolic group
Inna Bumagin, Jeremy Macdonald
We prove that every finitely generated group discriminated by a locally quasi-convex torsion-free hyperbolic group is effectively coherent: that is, presentations for finit…
-free groups are CAT(0)
Inna Bumagin, Olga Kharlampovich
We show that every group with free -length function is CAT(0).
On definitions of relatively hyperbolic groups
Inna Bumagin
The purpose of this note is to provide a short alternate proof that (combined with a theorem proven by Szczepanski) shows that a group which is relatively hyperbolic in the sense o…
The conjugacy problem for relatively hyperbolic groups
Inna Bumagin
Solvability of the conjugacy problem for relatively hyperbolic groups was announced by Gromov [Hyperbolic groups, MSRI publications 8 (1987)]. Using the definition of Farb of a rel…