Karakter matriks dari endomorfisma sebagai automorfisma pada grup hingga komutatif = Character of matrix endomorphism as an automorphism of finite abelian group
| Main Author: | Citra Natalia, author |
|---|---|
| Format: | Bachelors |
| Terbitan: |
Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia
, 2012
|
| Subjects: | |
| Online Access: |
http://lib.ui.ac.id/file?file=digital/20309694-S42923-Karakter matriks.pdf |
Daftar Isi:
- [<b>ABSTRAK</b><br> Misalkan menyatakan grup hingga komutatif dengan order bilangan prima. Karena himpunan automorfisma grup adalah himpunan bagian dari himpunan endomorfisma grup, maka mempelajari automorfisma grup dapat melalui endomorfisma grup . Dengan adanya pemetaan homomorfisma surjektif dari gelanggang matriks ke gelanggang endomorfisma , maka setiap endomorfisma akan memiliki padanan suatu matriks. Dalam skripsi ini dibahas tentang karakter matriks dari endomorfisma yang dapat memberikan automorfisma Hp. <hr> <b>ABSTRACT</b><br> Let denotes a finite commutative group of order where is a prime number. Since automorphism group is a subset of endomorphism group, then it is possible to study the group automorphism of by analyzing the group endomorphism of . With the existence of a surjective homomorphism mapping from the ring of matrices to the endomorphism ring of , then each element in the endomorphism ring of will have a matrix associated to it. This mini thesis will discuss the characteristic of the matrix of the endomorphism that gives the automorphism of Hp., Let denotes a finite commutative group of order where is a prime number. Since automorphism group is a subset of endomorphism group, then it is possible to study the group automorphism of by analyzing the group endomorphism of . With the existence of a surjective homomorphism mapping from the ring of matrices to the endomorphism ring of , then each element in the endomorphism ring of will have a matrix associated to it. This mini thesis will discuss the characteristic of the matrix of the endomorphism that gives the automorphism of Hp.]