Analisis Keberhinggaan Matriks Representasi atas Grup Berhingga
| Main Authors: | Taufan, Muhammad, Romdhini, Mamika Ujianita, Switrayni, Ni Wayan |
|---|---|
| Format: | Article info application/pdf eJournal |
| Bahasa: | ind |
| Terbitan: |
Program Studi Matematika, Universitas Mataram
, 2018
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| Subjects: | |
| Online Access: |
http://www.eigen.unram.ac.id/index.php/eigen/article/view/10 http://www.eigen.unram.ac.id/index.php/eigen/article/view/10/10 |
Daftar Isi:
- 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.