Question

How many non-isomorphic classes of abelian groups can there be of order 120 ? Write down a list of such groups (one from each class). How many of these groups are cyclic ?

Name: How many non-isomorphic classes of abelian groups can there be of order 120 ? Write down a list of such groups (one from each class). How many of these groups are cyclic ?
Uploaded: 2022-11-05T07:15:18-08:00
Duration: 2 min 29 s
Channel: Adi S
Description: How many non-isomorphic classes of abelian groups can there be of order 120 ? Write down a list of such groups (one from each class). How many of these groups are cyclic ?

          How many non-isomorphic classes of abelian groups can there be of order 120 ? Write down a list of such groups (one from each class). How many of these groups are cyclic ?

How many non-isomorphic classes of abelian groups can there be of order 120 ? Write down a list of such groups (one from each class). How many of these groups are cyclic ?

Added by Shannon M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

11/05/2022

Step 1

Step 2: Possible abelian groups of order 120 To find the possible abelian groups of order 120, we need to consider the different ways we can distribute the prime factors among the cyclic factors of the group. Possible combinations: - 2^3 * 3 * 5: This Show more…

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How many non-isomorphic classes of abelian groups can there be of order 120 ? Write down a list of such groups (one from each class). How many of these groups are cyclic?