THE FIRST FUNDAMENTAL GROUP OF THE PERMUTATION GROUP

Authors

  • Aidil Adrianda Afrizal Universitas Bangka Belitung
  • Yanita Yanita Departemen Matematika dan Sains Data, FMIPA Universitas Andalas

DOI:

https://doi.org/10.25077/jmua.15.4.460-465.2026

Keywords:

Identity graph, Permutation group, The first fundamental group

Abstract

This study aims to determine the elements of the first fundamental group based on identity graphs derived from permutation groups, particularly those representing symmetric groups. Identity graphs are constructed by treating vertices as group elements and connecting them with edges when their product results in the identity element. The research focuses on identifying the components of the first fundamental group within these graph structures. The elements of the fundamental group are interpreted as sets of equivalent closed paths that start and finish at the same vertex. The findings indicate that the number of these equivalence classes in a fundamental group constructed from an identity graph reflects specific graph structures, offering new perspectives on the connection between permutation groups and graph theory.

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Published

22-10-2026

How to Cite

Adrianda Afrizal, A., & Yanita, Y. (2026). THE FIRST FUNDAMENTAL GROUP OF THE PERMUTATION GROUP. Jurnal Matematika UNAND, 15(4), 460–465. https://doi.org/10.25077/jmua.15.4.460-465.2026

Issue

Vol. 15 No. 4 (2026)

Section

Articles

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