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- W2952256877 abstract "Let $M$ be a cusped finite-volume hyperbolic three-manifold with isometry group $G$. Then $G$ induces a $k$-transitive action by permutation on the cusps of $M$ for some integer $kge 0$. Generically $G$ is trivial and $k=0$, but $k>0$ does occur in special cases. We show examples with $k=1,2,4$. An interesting question concerns the possible number of cusps for a fixed $k$. Our main result provides an answer for $k=2$ by constructing a family of manifolds having no upper bound on the number of cusps." @default.
- W2952256877 created "2019-06-27" @default.
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- W2952256877 date "2019-06-17" @default.
- W2952256877 modified "2023-09-27" @default.
- W2952256877 title "Cusp transitivity in hyperbolic 3-manifolds" @default.
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