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Oct25-10, 09:05 AM
Sci Advisor
PF Gold
P: 4,500
Can you do the case where G is generated by one element?

Then the inductive step: If the result is true for when G is generated by up to n elements, suppose that G is generated by n+1 elements a1,...,an+1. Let H be a subgroup of G. What can we say about H by examining G/<an+1>?