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December 10th, 2008, 07:51 AM  #1 
Newbie Joined: Dec 2008 Posts: 9 Thanks: 0  please help quickly about sylow thm and group action quest 1. Let p be prime, and G be a finite group. If every element of G has order a power of p, then G = p^n for some n?0. (Hint: Use Cauchy’s theorem.) 2. Tell as much as possible about the subgroups of a group of order 30 and of a group of order 40. 3. Let G be a finite pgroup and H<G. Prove that H<N G(H) . please help me quickly... ? dont understand these ques.s 
December 13th, 2008, 06:13 AM  #2 
Senior Member Joined: Dec 2008 Posts: 251 Thanks: 0  Re: please help quickly about sylow thm and group action quest
For problem (1), try a proof by contradiction.


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