The group of primitive Pythagorean triples over Gaussian integers

A group structure of the set of primitive Pythagorean triples over Gaussian integers is investigated. In addition, we show that it is a free abelian group. Base on the study, the construction and enumeration of the primitive Pythagorean triples having the same hypotenuse are established.

Detalles Bibliográficos
Autores principales: Wongpradit, Attawut, Sangwisut, Ekkasit
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10279819/
https://www.ncbi.nlm.nih.gov/pubmed/37346328
http://dx.doi.org/10.1016/j.heliyon.2023.e16747
Descripción
Sumario:A group structure of the set of primitive Pythagorean triples over Gaussian integers is investigated. In addition, we show that it is a free abelian group. Base on the study, the construction and enumeration of the primitive Pythagorean triples having the same hypotenuse are established.

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