Generalized torsion for hyperbolic $3$--manifold groups with arbitrary large rank

Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito

Let $G$ be a group and $g$ a non-trivial element in $G$. If some non-empty finite product of conjugates of $g$ equals to the trivial element, then $g$ is called a generalized torsi…