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Let $V$ be a virtually cyclic group. Then is $Aut(V)$ also a virtually cyclic group?
This is true when $V$ is a finite, infinite cyclic, or infinite dihedral group (zero-ended) and when $V = C_\infty, D_\infty$ (both two-ended).
This is true when $V$ is finite, infinite cyclic, or infinite dihedral.
This is true when $V$ is a finite group (zero-ended) and when $V = C_\infty, D_\infty$ (both two-ended).