Subgroup separability of the figure 8 knot group |
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Authors: | Daniel T. Wise |
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Affiliation: | Department of Mathematics, UC Berkeley, Berkeley, CA, USA |
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Abstract: | It is shown that the fundamental groups of certain non-positively curved 2-complexes have the property that their quasiconvex subgroups are the intersections of finite index subgroups.As a consequence, every geometrically finite subgroup of the figure 8 knot group is the intersection of finite index subgroups. The same result holds for many other prime alternating link groups. |
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Keywords: | 20E05 20E06 20E26 20F32 57M25 |
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