In each of parts (a) to (e) give the number of non-isomorphic abelian groups of the specified order - do not list the groups. (a) 100 (b) 576 (c) 1155 (d) 42875 (e) 2704.
Prove that your answer is correct and list the groups in part (e).
For all the number of non-isomorphic abelian groups, we only need to know the order of this group. The solutions are as follows.
(a) 100 = 2^2 * 5^2
Then the number is 2 * 2 = 4
(b) 576 = 2^6 * 3^2
Then the number is 10 * 2 ...
Nonisomorphic Abelian Groups are examined.