Let H be an infinite virtually cyclic group. If H is orientable (resp. non-orientable) the Farrell nil groups $N_n(\mathbb{Z}H,\alpha) $ (resp. the Waldhausen nil groups $N^W_n(\mathbb{Z}H;\mathbb{Z}[G_1-H],\mathbb{Z}[G_1-H])$), are torsion groups?

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