Nonisomorphic Abelian Groups
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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).
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Solution Summary
Nonisomorphic Abelian Groups are examined.
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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 ...
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