Subgroup separability of the figure 8 knot group

• Autores: Daniel T. Wise
• Localización: Topology, ISSN 0040-9383, Vol. 45, Nº 3, 2006, págs. 421-464
• Idioma: inglés
• DOI: 10.1016/j.top.2005.06.004
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• Resumen

  • 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.