PERMUTATIONS, GROUPS AND SYMMETRIES

Rodrigo Luiz de Souza

Abstract


http://dx.doi.org/10.5902/2179460X14620

The main goal this paper is to be a brief introduction to the Group Theory. To begin the study, the concept of permutation was introduced and defined as a bijective function from a group on itself. After that, the concepts of group and subrgroup were exhibited and discussed, as well as their basic properties. Using the concepts discussed so far, the symmetry groups for the equilateral triangle and for the square were presented in order to compare this particular groups with the permutation groups. In the last section of this paper, we sugest a guide to apply the concept discussed here on a High School class.


Keywords


Álgebra, permutações, Teoria de Grupos, Grupos de Simetrias, Ensino Médio



DOI: http://dx.doi.org/10.5902/2179460X14620

Refbacks

  • There are currently no refbacks.


Copyright (c)



Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.