# Nonisomorphic Abelian Groups

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).

https://brainmass.com/math/group-theory/nonisomorphic-abelian-groups-232100

#### Solution Preview

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 ...

#### Solution Summary

Nonisomorphic Abelian Groups are examined.

$2.19