Browsing by Author "Salgueiro, Antonio"
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Item Some remarks on group actions on hyperbolic 3-manifolds(University of Primorska, 2022) Reid, Alan; Salgueiro, AntonioWe prove that there are infinitely many non-commensurable closed orientable hyperbolic 3-manifolds X, with the property that there are finite groups G1 and G2 acting freely by orientation-preserving isometries on X with X/G1 and X/G2 isometric, but G1 and G2 are not conjugate in Isom(X). We provide examples where G1 and G2 are non-isomorphic, and prove analogous results when G1 and G2 act with fixed-points.