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DAFTAR ISI
Kata Pengantar ....................................................................................................... i
Daftar Isi ................................................................................................................ ii
Peta Konsep ........................................................................................................... iii
Petunjuk Penggunaan E-Modul .............................................................................. iv
Kegiatan Belajar 1 ................................................................................................ 1
PENGANTAR GRUP .......................................................................................... 2
A. Himpunan ...................................................................................................... 3
B. Himpunan Bilangan ....................................................................................... 7
C. Keterbagian .................................................................................................... 9
D. FPB, KPK, dan Algoritma Pembagian ............................................................ 10
E. Fungsi (Pemataan) .......................................................................................... 11
F. Bilangan Bulat ............................................................................................... 18
G. Faktor Persekutuan Terbesar (Greatest Common Divisor) .............................. 18
H. Kelipatan Persekutuan Terkecil (Least Common Multiple) ............................. 19
I. Kekongruenan ................................................................................................ 20
J. Induksi Matematika ........................................................................................ 21
Kegiatan Belajar 2 ................................................................................................ 28
OPERASI BINER DAN GRUP ........................................................................... 29
A. Operasi Biner ................................................................................................. 30
B. Sifat-sifat Operasi Biner ................................................................................. 32
C. Grup ............................................................................................................... 35
Kegiatan Belajar 3 ................................................................................................ 46
SUBGRUP DAN GRUP SIKLIK ........................................................................ 47
A. Subgrup.......................................................................................................... 48
B. Grup Siklik .................................................................................................... 52
Kegiatan Belajar 4 ................................................................................................ 59
GRUP PERMUTASI ............................................................................................ 60
A. Grup Permutasi .............................................................................................. 61
Kegiatan Belajar 5 ................................................................................................ 70
ORBIT, CYCLES, DAN ALTERATING GRUP ................................................ 71
A. Orbit .............................................................................................................. 72
E-Modul Struktur Aljabar Page ii
