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Pertanyaan Bacaan 6.4 Pertanyaan Bacaan
1.
Nyatakan Teorema Lagrange dengan kata-kata Anda sendiri.
2.
Tentukan koset kiri dari
\(\langle 3 \rangle\) dalam
\(\mathbb Z_9\text{.}\)
3.
Himpunan
\(\{(), (1\,2)(3\,4), (1\,3)(2\,4), (1\,4)(2\,3)\}\) merupakan subgrup dari
\(S_4\text{.}\) Berapakah indeksnya dalam
\(S_4\text{?}\)
4.
Misalkan
\(G\) grup berorde
\(29\text{.}\) Deskripsikan
\(G\text{.}\)
5.
Bilangan
\(p=137909\) prima. Jelaskan cara menghitung
\(57^{137909}\pmod{137909}\) tanpa kalkulator.