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	   Let  G  be a group, and let  g  be a nontrivial element in  G . If some nonempty finite product of conjugates of  g  equals the identity, then  g  is called a  generalized torsion element . We say that a knot  K  has generalized torsion if  			 		 $G(K) = \pi _1(S^3 - K)$ 		admits such an element. For a  			 		 $(2, 2q+1)$ 		-torus knot  K , we demonstrate that there are infinitely many unknots  			 		 $c_n$ 		in  			 		 $S^3$ 		such that  p -twisting  K  about  			 		 $c_n$ 		yields a twist family  			 		 $\{ K_{q, n, p}\}_{p \in \mathbb {Z}}$ 		in which  			 		 $K_{q, n, p}$ 		is a hyperbolic knot with generalized torsion whenever  			 		 $|p|&gt; 3$ 		. This gives a new infinite class of hyperbolic knots having generalized torsion. In particular, each class contains knots with arbitrarily high genus. We also show that some twisted torus knots, including the  			 		 $(-2, 3, 7)$ 		-pretzel knot, have generalized torsion. Because generalized torsion is an obstruction for having bi-order, these knots have non-bi-orderable knot groups.

Generalized torsion for knots with arbitrarily high genus