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

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