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

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

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 torsion element. To the best of our knowledge, we have no hyperbolic $3$--manifold groups with generalized torsion elements …