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January 2nd, 2007, 06:05 AM  #1 
Member Joined: Dec 2006 Posts: 66 Thanks: 0  question about the groups finitely generated
Let G be a group finitely generated if N is the last term of the derived series of G Why G/N is a finitely generated group? Thanks sastra 
January 2nd, 2007, 12:03 PM  #2 
Member Joined: Dec 2006 Posts: 39 Thanks: 0 
Hi: If G is f.g. then G/N is ALWAYS f.g., never mind N is the last term of the derived series or not: If G = <x1,...,xn>, then clearly G/N = <x1N,...,xnN>. Regards Tonio 

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