[代數] order
if G is a group of order n and a屬於G, prove that a^n=e
小弟才疏學淺
一直想不透怎麼麼證明才會嚴謹
小弟是想說
| <a> |=m , m<=n
a^m=e
則可以根據lagrange's Thm
m | n
則a^n=a^km=(a^m)^k=e
得證
但是我問我同學他說我的寫法是錯的
可是他也沒辦法說出完整的作法
只說我是錯的
所以可以請教一下版上的神手給小弟一點方向嗎
萬分感謝
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