Graph Representation for the Solutions of Pythagorean Equation over the General Linear Group GL₂ (ℤ₂ )

Authors

  • Yudi Mahatma Universitas Negeri Jakarta
  • Ibnu Hadi Universitas Negeri Jakarta
  • Sudarwanto Sudarwanto Universitas Negeri Jakarta
  • Debby Agustine Universitas Negeri Jakarta

DOI:

https://doi.org/10.21009/jmt.7.1.1

Keywords:

Fermat equation, general linear group, graph

Abstract

In 2023, Hadi et al. found the solvability of the Fermat equation over the general linear group GL2(Zp)  for p=2 and p=3.  In particular, for Pythagorean equation over GL2(Z2) there are 12 solutions.  In this research, we represent the set solutions as a graph and investigate the properties.

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Published

2025-02-20

Issue

Vol. 7 No. 1 (2025): JMT (Jurnal Matematika dan Terapan)

Section

Articles