The Markoff group of transformations in prime and composite moduli. With an appendix by Dan Carmon.

DOI10.1215/00127094-2018-0024zbMath1447.11049arXiv1702.08358OpenAlexW2994714444MaRDI QIDQ1626579

Chen Meiri, Doron Puder

Publication date: 21 November 2018

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

Full work available at URL: https://arxiv.org/abs/1702.08358

zbMATH Keywords

\(T\)-systemsMarkoff equationMarkoff triples

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Free nonabelian groups (20E05) Cubic and quartic Diophantine equations (11D25) Primitive groups (20B15)

Related Items (7)

Tamely ramified covers of the projective line with alternating and symmetric monodromy ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ Nonabelian level structures, Nielsen equivalence, and Markoff triples ⋮ Non-planarity of Markoff graphs \(\mod p\) ⋮ The cycle structure of a Markoff automorphism over finite fields ⋮ Kesten-McKay law for the Markoff surface mod \(p\) ⋮ Experiments with the Markoff Surface

Cites Work

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• NIELSEN EQUIVALENCE OF GENERATING PAIRS OF SL(2,q)
• Dynamics of Aut(Fn) Actions on Group Presentations and Representations
• Commutator maps, measure preservation, and 𝑇-systems
• Finite Quotients of the Automorphism Group of a Free Group
• T-systems of certain finite simple groups

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