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January 2nd, 2007, 07:05 AM   #1
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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?
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sastra
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January 2nd, 2007, 01:03 PM   #2
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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>.
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Tonio
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