[代數] 幾題期中考的問題..
(1) Prove that a group that has only a finite number of subgroups
must be finite.
(2) 舉一個無窮乘法循環群的例子
(3) G is group, H is a subgroup of G
Prove that the number of all distinct right cosets of H in G is equal to
the number of all distinct left cosets of H in C
即使考完了還是不會(炸)
想請問這幾題如何做呢@@
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