Groups, Geometry, and Dynamics
Full-Text PDF (267 KB) | Metadata | Table of Contents | GGD summary
Published online: 2015-04-28
Multiple conjugacy problem in graphs of free abelian groupsBenjamin Beeker (1) Université Paris-Sud, Orsay, France
A group $G$ is a vGBS group if it admits a decomposition as a nite graph of groups with all edge and vertex groups nitely generated and free abelian. We prove that the multiple conjugacy problem is solvable between two $n$-tuples $A$ and $B$ of elements of $G$ whenever the elements of A does not generate an elliptic subgroup.
Keywords: Conjugacy problem, Bass–Serre theory
Beeker Benjamin: Multiple conjugacy problem in graphs of free abelian groups. Groups Geom. Dyn. 9 (2015), 1-27. doi: 10.4171/GGD/303