December 14th, 2009, 04:03 AM  #1 
Member Joined: Dec 2009 Posts: 34 Thanks: 0  PSylow groups
Hey there, Help is needed in the next question: Let G be a finite group of order n and let p be a prime number that divides n. Let's mark as Op(G) as the intersection of all psylow groups of G. 1. Prove that Op(G) is a normal psubgroup in G.Proved it 2. Prove that every normal psubgroup of G is contained in Op(G)Proved it Can't understand how to prove this one: 3. Let's mark: G] = G/Op(G). Prove that Op(G] ) ={1} TNX everyone! 

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