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arXiv · 1210.2691

Groups possessing only indiscrete embeddings in SL(2,C)

J. O. Button
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Abstract

We give results on when a finitely generated group has only indiscrete embeddings in SL(2,C), with particular reference to 3-manifold groups. For instance if we glue two copies of the figure 8 knot along its torus boundary then the fundamental group of the resulting closed 3-manifold sometimes embeds in SL(2,C) and sometimes does not, depending on the identification. We also give another quick counterexample to Minsky's simple loop question.

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J. O. Button. 2012-10-09. Groups possessing only indiscrete embeddings in SL(2,C). https://arxiv.org/abs/1210.2691

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