Quasiconvex Subgroups and Nets in Hyperbolic Groups
Consider a hyperbolic group G and a quasiconvex subgroup H of G with [G:H] infinite. We construct a set-theoretic section s:G/H -> G of the quotient map (of sets) G -> G/H such that s(G/H) is a net in G; that is, any element of G is a bounded distance from s(G/H). This set arises naturally as...
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Format: | Others |
Language: | en |
Published: |
2006
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Online Access: | https://thesis.library.caltech.edu/2461/1/thesis.pdf Mack, Thomas Patrick (2006) Quasiconvex Subgroups and Nets in Hyperbolic Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/35GG-W072. https://resolver.caltech.edu/CaltechETD:etd-06052006-141903 <https://resolver.caltech.edu/CaltechETD:etd-06052006-141903> |
Internet
https://thesis.library.caltech.edu/2461/1/thesis.pdfMack, Thomas Patrick (2006) Quasiconvex Subgroups and Nets in Hyperbolic Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/35GG-W072. https://resolver.caltech.edu/CaltechETD:etd-06052006-141903 <https://resolver.caltech.edu/CaltechETD:etd-06052006-141903>