Subgroups of 𝑆𝐿₂(ℤ) characterized by certain continued fraction representations

DOI10.1090/proc/15027zbMath1464.20016arXiv1909.00108OpenAlexW3121779225MaRDI QIDQ3298149

Sandie Han, Satyanand Singh, Ariane M. Masuda, Johann A. Thiel

Publication date: 21 July 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.00108

zbMATH Keywords

membership problemcontinued fractionmatrix groupmatrix monoid

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Continued fractions (11A55) Free nonabelian groups (20E05)

Cites Work

• Unnamed Item
• On two-generator subgroups in \(\mathrm{SL}_2(\mathbb{Z})\), \(\mathrm{SL}_2(\mathbb{Q})\), and \(\mathrm{SL}_2(\mathbb{R})\)
• Combinatorial group theory.
• On the membership problem for some subgroups of \(SL_2(\mathbf{Z})\)
• Solving the membership problem for parabolic Möbius monoids
• The (u,v)-Calkin–Wilf forest
• Pairs of Matrices in <em>GL</em>₂(R_≥0) That Freely Generate

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