Non-freeness of groups generated by two parabolic elements with small rational parameters

DOI10.1307/mmj/20205868OpenAlexW3189015450MaRDI QIDQ2102516

Thomas Koberda, Sang-hyun Kim

Publication date: 29 November 2022

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06375

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Computational methods for problems pertaining to group theory (20-08)

Related Items (1)

A sequence of algebraic integer relation numbers which converges to 4

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On two-generator subgroups in \(\mathrm{SL}_2(\mathbb{Z})\), \(\mathrm{SL}_2(\mathbb{Q})\), and \(\mathrm{SL}_2(\mathbb{R})\)
• Flexibility of group actions on the circle
• Non-free two-generator subgroups of \(\text{SL}_ 2(\mathbb{Q})\)
• The structure of two-parabolic space: parabolic dust and iteration
• Doubly generated Fuchsian groups
• Non-Free Points for Groups Generated by a Pair of 2×2 Matrices
• On Certain Pairs of Matrices which Generate free Groups
• The dynamics of Pythagorean Triples
• Pell's Equation and Two Generator Free Möbius Groups
• The Riley Slice of Schottky Space
• Non-Free Groups Generated by Two 2 X 2 Matrices
• On Certain Pairs of Matrices which do not Generate a Free Group
• Groups Generated by two Parabolic Linear Fractional Transformations

This page was built for publication: Non-freeness of groups generated by two parabolic elements with small rational parameters