离散数学置换群 50
1个回答
展开全部
省去方括号。
........模8的剩余类加法
......0...1...2...3....4....5....6....7
0....0...1...2...3....4....5....6....7
...1...2...3....4....5....6....7...0
2.....2...3....4....5....6....7...0...1
3.....3....4....5....6....7...0...1....2
4.....4....5....6....7....0...1....2...3
5.....5....6....7....0...1....2...3....4
6.....6....7....0...1....2...3....4....5
7.....7....0...1....2...3....4....5....6.
Z8的子群有{[0]},{[0],[4]},{[0],[2].[4],[6]},z8.
其中4阶子群H={[0],[2].[4],[6]},
[0]H=[2]H=[4]H=[6]H=H,
[1]H=[3]H=[5]H=[7]H={[1],[3],[5],[7]}.
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