Discreteness criteria and the hyperbolic geometry of palindromes

DOI10.1090/S1088-4173-09-00191-XzbMath1193.30055arXiv0808.3488OpenAlexW2050361461MaRDI QIDQ3559528

Linda Keen, Jane Gilman

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3488

zbMATH Keywords

palindromessubgroups of \(PSL(2,\mathbb C)\)

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Discrete subgroups of Lie groups (22E40) Coverings of curves, fundamental group (14H30) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items

Palindromic Width of Finitely Generated Solvable Groups, Unnamed Item, On palindromic width of certain extensions and quotients of free nilpotent groups, Palindromic width of graph of groups, On the parametrized modular group, Enumerating palindromes and primitives in rank two free groups., The non-Euclidean Euclidean algorithm, Winding and unwinding and essential intersections in ℍ³, Palindromic width of free nilpotent groups., Jörgensen’s inequality and purely loxodromic two-generator free Kleinian groups, Bowditch’s Q-conditions and Minsky’s primitive stability, Reversing Palindromic Enumeration in Rank-Two Free Groups

Cites Work

• Enumerating palindromes and primitives in rank two free groups.
• Elementary geometry in hyperbolic space
• Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori
• The geometry of two generator groups: hyperelliptic handlebodies
• Hyperbolic manifolds and discrete groups
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