Conway topograph, -dynamics and two-valued groups

Conway's topographic approach to binary quadratic forms and Markov triples is reviewed from the point of view of the theory of two-valued groups. This leads naturally to a new class of commutative two-valued groups, which we call involutive. It is shown that the two-valued group of Conway'...

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Veröffentlicht in:	Russian mathematical surveys 2019-06, Vol.74 (3), p.387-430
Hauptverfasser:	Buchstaber, V. M., Veselov, A. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	algebraic discrete-time dynamics Automorphisms Conway topograph Curves Group theory integrability Mathematical analysis modular group Multiplication Quadratic forms two-valued groups Vectors (mathematics)
Online-Zugang:	Volltext
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