GATE | GATE-CS-2007 | Question 85

How many different non-isomorphic Abelian groups of order 4 are there
(A) 2
(B) 3
(C) 4
(D) 5


Answer: (A)

Explanation:

2 can be written as 2 power 2.
Number of partitioning of 2 = no. of non isomorphic
                              abelian groups
2 can be partitioned as {(2),(1,1)}

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