Some remarks on group actions on hyperbolic 3-manifolds
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2022
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University of Primorska
Abstract
We 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.
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Reid, Alan and Salgueiro, Antonio. "Some remarks on group actions on hyperbolic 3-manifolds." The Art of Discrete and Applied Mathematics, 5, no. 3 (2022) University of Primorska: https://doi.org/10.26493/2590-9770.1450.f39.
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This work is licensed under https://creativecommons.org/licenses/by/4.0/