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title
KuNci SuksEs
description
Just another WordPress.com weblog
image
site name
KuNci SuksEs
author
updated
2026-02-17 07:33:38
raw text
KuNci SuksEs | Just another WordPress.com weblog KuNci SuksEs Just another WordPress.com weblog Grup Siklik dan ISOMORFISMA June 17, 2010 in Uncategorized . Leave a Comment Grup Siklik Jika G adalah suatu grup, a ∈ G H = { a n I n ∈ Z } Adalah subgroup dari G. Jika di berikan grup G, dan a ∈ G, jika G = { a n I n ∈ Z }, maka G dikataka grup siklik yang dibangun oleh a. Notasi G = < a > Teorema 1 Semua Grup Siklik adalah grup komutatif Namun, kebalikan teorema di atas belum tentu berlaku. Grup sklik adalah bentuk sederhana dari grup abel. Lemma (Algoritma Pembagian di Z) Jika m adalah bilangan bulat positif dan n sebarang bilangan bulat, maka terdapat secara unik bilangan bulat q dan r sehingga, n = mq + r , dan 0 ≤ r < m Teorema 2 Subgrup dari suatu grup siklik adalah siklik juga Akibat 1 Subgrup-subgrup dari Z terhadap operasi penjumlahan pasti berbentuk nZ, untuk n bilangan bulat. >> Klasifikasi Grup ...
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