关于双曲3-流形上群作用的若干注释

Art Discret. Appl. Math. Pub Date : 2022-04-20 DOI:10.26493/2590-9770.1450.f39

A. Reid, António Salgueiro

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摘要

证明了存在无穷多个不可通约的闭可定向双曲3-流形X，并证明了有有限群G1和G2以X/G1和X/G2等距自由作用于X上，但G1和G2在Isom(X)中不共轭。我们给出了G1和G2是非同构的例子，并证明了G1和G2作用于不动点时的类似结果。献给马斯顿·康德，庆祝他65岁生日

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Some remarks on group actions on hyperbolic 3-manifolds

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. Dedicated to Marston Conder on the occasion of his 65th birthday

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Art Discret. Appl. Math.

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