Explore BrainMass
Share

Explore BrainMass

    Nonisomorphic Abelian Groups

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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).

    © BrainMass Inc. brainmass.com October 9, 2019, 10:47 pm ad1c9bdddf
    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