作者loribank (小蘿莉銀行)
看板Math
標題[代數] subgroup
時間Thu Dec 30 23:44:02 2010
有一題證明想了很久還是沒有方向
希望代數強者教我一下
Suppose G is a group of order 6
Prove：There is exactly one subgroup of order 3.
拜託了.....感謝!!
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1F：推 znmkhxrw :意思是他的proper subgroup只有一個且order 3? 12/30 23:49
2F：→ znmkhxrw :拍謝我會錯意 12/30 23:50
3F：→ znmkhxrw :喔喔~~我知道嚕~~因為6=2*3 2,3 are primes 12/30 23:51
4F：→ znmkhxrw :by chauchy's thm, there exist an element of order 12/30 23:53
5F：推 yusd24 :This follows from 3rd Sylow theorem 12/31 00:02
6F：推 znmkhxrw :我回文了XD 一到四樓別理我@@" 12/31 00:15