作者loribank (小萝莉银行)
看板Math
标题[代数] subgroup
时间Thu Dec 30 23:44:02 2010
有一题证明想了很久还是没有方向
希望代数强者教我一下
Suppose G is a group of order 6
Prove：There is exactly one subgroup of order 3.
拜托了.....感谢!!
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1F：推 znmkhxrw :意思是他的proper subgroup只有一个且order 3? 12/30 23:49
2F：→ znmkhxrw :拍谢我会错意 12/30 23:50
3F：→ znmkhxrw :喔喔~~我知道噜~~因为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 一到四楼别理我@@" 12/31 00:15