Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga

Authors

  • Muhammad Taufan
  • Mamika Ujianita Romdhini
  • Ni Wayan Switrayni

DOI:

https://doi.org/10.29303/emj.v1i1.10

Keywords:

Finite Group, Field, Matrix Representation, Number of Matrix Representation

Abstract

Representation of a finite group G over generator linear non singular mxm matrix with entries of field K defined by group homomorphismA : G → GLm(K)Basically, the non singular mxm matrix A(x) which representing the finite group G divided into two, that are the unitary matrix and non unitary matrix . If A(x) is a non unitary matrix, then there exist a unitary matrix which similar to A(x). This research deals to analyze the numbers of one example of a unitary matrix representation over arbitrary finite group G with order n that is permutation matrix, and the number of unitary matrix which is similar to real non unitary matrix representation of arbitrary finite group G order 2. The results showed the numbers of permutation matrix representation is n! and unitary matrix which is similar to non unitary matrix representation is 2.

References

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Published

2018-06-30

How to Cite

Taufan, M., Romdhini, M. U., & Switrayni, N. W. (2018). Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga. EIGEN MATHEMATICS JOURNAL, 1(1), 31–34. https://doi.org/10.29303/emj.v1i1.10

Issue

Vol. 1 No. 1: Juni 2018

Section

Articles

License

All articles published in the Eigen Mathematics Journal will be available for free reading and downloading. The license applied to this journal is Creative Commons Attribution-Non-Commercial-Share Alike (CC BY-NC-SA).

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