On the membership problem for some subgroups of \(SL_2(\mathbf{Z})\)

DOI10.1007/s40316-018-0103-8OpenAlexW2809394464MaRDI QIDQ2322854

Henri-Alex Esbelin, Marin Guţan

Publication date: 5 September 2019

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-018-0103-8

zbMATH Keywords

continued fractionsfree groupsmatrix groupsmembership problem

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Number-theoretic algorithms; complexity (11Y16) Free nonabelian groups (20E05)

Related Items (1)

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

Cites Work

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• On two-generator subgroups in \(\mathrm{SL}_2(\mathbb{Z})\), \(\mathrm{SL}_2(\mathbb{Q})\), and \(\mathrm{SL}_2(\mathbb{R})\)
• Navigating in the Cayley graph of \(\mathrm{SL}_2(\mathbb F_p)\) and applications to hashing
• On the decidability of semigroup freeness
• Groups Generated by two Parabolic Linear Fractional Transformations

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