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Sep 24, 2018 at 19:26 vote accept user101010
Sep 21, 2018 at 4:00 comment added Ryan Budney The answer to your question for all spherical 3-manifolds is given by the Rubinstein-McCullough paper. In that paper they compute the isometry groups of spherical 3-manifolds. You can use geometrization to argue any finite-order automorphism is conjugate to such an isometry.
Sep 20, 2018 at 20:15 answer added mme timeline score: 6
Sep 20, 2018 at 19:25 history asked user101010 CC BY-SA 4.0