Reversing Palindromic Enumeration in Rank-Two Free Groups

DOI10.1080/10586458.2016.1180655zbMath1400.20025arXiv1311.6358OpenAlexW2295454066MaRDI QIDQ4976191

Andrew E. Silverio

Publication date: 27 July 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6358

zbMATH Keywords

primitive wordspunctured torus groupsrank-2-free groups

Mathematics Subject Classification ID

Combinatorics on words (68R15) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Continued fractions (11A55) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Continued fractions; complex-analytic aspects (30B70) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (1)

A discreteness algorithm for 4-punctured sphere groups

Cites Work

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• Enumerating palindromes and primitives in rank two free groups.
• Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori
• An algorithm for 2-generator Fuchsian groups
• Applications of a Computer Implementation of Poincare's Theorem on Fundamental Polyhedra
• Discreteness criteria and the hyperbolic geometry of palindromes
• On Discrete Groups of Mobius Transformations
• The Riley Slice of Schottky Space

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