DOI: https://doi.org/10.14710/jfma.v6i1.15939

A PYTHON CODE FOR GENERATING ALL PROPER SUBGROUPS OF DIHEDRAL GROUP

*Abdul Gazir Syarifudin  -  Institut Teknologi Bandung, Indonesia
Verrel Rievaldo Wijaya  -  Institut Teknologi Bandung, Indonesia

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Abstract

The dihedral group of order 2n denoted by D_2n is the symmetry group of a regular -polygon consisting of rotation and reflection elements and the composition of both elements. Like any other group, the dihedral group also have a subgroup whose numbers differs depending on the value of n. This research is conducted by studying past literature and explore a new development to a theory. In this paper, all the form of proper subgroups of D_2n will be given and all of these proper subgroups of D_2n will be generated and counted with the help of Python program.

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Keywords: dihedral group; prime numbers; python; object-oriented programming.

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Section: FUNDAMENTAL MATHEMATICS AND APPLICATIONS
Language : EN
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