题目内容
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![设G={[1]，[2]，[3]，[4]，[5]，[6]}，G上的二元运算×7如表5-36所示．（G，×7)是循环群吗？若是，请找出它的生成元．](https://img2.soutiyun.com/shangxueba/askcard/2023-06/20/1305/20230620164637847.jpg)
[主观题]
设G={[1]，[2]，[3]，[4]，[5]，[6]}，G上的二元运算×7如表5-36所示．（G，×7)是循环群吗？若是，请找出它的生成元．
设G={[1]，[2]，[3]，[4]，[5]，[6]}，G上的二元运算×7如表5-36所示．(G，×7)是循环群吗？若是，请找出它的生成元．
| 表5-36 | ||||||
| ×7 | [1] | [2] | [3] | [4] | [5] | [6] |
| [1] | [1] | [2] | [3] | [4] | [5] | [6] |
| [2] | [2] | [4] | [6] | [1] | [3] | [5] |
| [3] | [3] | [6] | [2] | [5] | [1] | [4] |
| [4] | [4] | [1] | [5] | [2] | [6] | [3] |
| [5] | [5] | [3] | [1] | [6] | [4] | [2] |
| [6] | [6] | [5] | [4] | [3] | [2] | [1] |
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