Thread: How many Abelian groups are there
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Old November 16th, 2008, 05:16 PM
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Originally Posted by mandy123 View Post

Let p be a prime number. How many Abelian groups (up to isomorphism) are there of order p^100.

I am stuck, Please Help
by the fundamental theorem of finite abelian groups, the answer is the number of partitions of 100, which according to this website is equal to 190569292.
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