a. Let p be a prime number. Fill in the second row of the table to give the number of abelian groups of order p", up to isomorphism.
n
2
3
4
5
6
7
8
Number of groups
b. Let p, q, and r be distinct prime numbers. Use the table you created to find the number of abelian groups, up to isomorphism, of the given order.
i. p3q4r7
ii. (qr)7
iii. q3r4q3
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