Conway topograph, PGL(2)(Z)-dynamics and two-valued groups

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

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Bibliographic Details
Main Authors: VM Buchstaber, Alexander Veselov
Format: Default Article
Published: 2019
Subjects:
Conway topograph
modular group
two-valued groups
algebraic discrete-time dynamics
integrability
Science & Technology
Physical Sciences
Mathematics
MODULAR GROUP ACTION
RATIONAL-POINTS
MARKOV NUMBERS
SURFACES
ALGEBRAS
DYNAMICS
EQUATION
GROWTH
FORMS
General Mathematics
Pure Mathematics
Applied Mathematics
Mathematical Physics
Online Access:https://hdl.handle.net/2134/9917468.v1
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https://hdl.handle.net/2134/9917468.v1

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