Roots and dynamics of octonion polynomials

DOI10.46298/CM.9042MaRDI QIDQ6588440

Solomon Vishkautsan, Adam Chapman

Publication date: 15 August 2024

Published in: Communications in Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed pointsperiodic pointsdivision algebrasalternative algebrasring of polynomialsnoncommutative dynamical systemsoctonion algebras

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Alternative rings (17D05) Composition algebras (17A75) Nonassociative division algebras (17A35) Arithmetic properties of periodic points (37P35) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

• Word equations in simple groups and polynomial equations in simple algebras.
• Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture
• An introduction to central simple algebras and their applications to wireless communication
• A Note on the Computation of All Zeros of Simple Quaternionic Polynomials
• Polynomial equations over octonion algebras
• ITERATION OF QUATERNION MAPS
• FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS
• Factoring octonion polynomials
• DYNAMICS OF A FAMILY OF QUADRATIC MAPS IN THE QUATERNION SPACE
• Dynamics in One Complex Variable. (AM-160)
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Related Items (1)

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