How many different non-isomorphic Abelian groups of order 8 are there?(a) 5(b) 4(c) 2(d) 3I had been asked this question in an interview for job.My question is taken from Groups topic in chapter Groups of Discrete Mathematics

How many different non-isomorphic Abelian groups of order 8 are there?

1.	How many different non-isomorphic Abelian groups of order 8 are there?(a) 5(b) 4(c) 2(d) 3I had been asked this question in an interview for job.My question is taken from Groups topic in chapter Groups of Discrete Mathematics
Answer» Right choice is (c) 2 To explain: The number of Abelian groups of order P^m (let, P is prime) is the number of partitions of m. Here order is 8 i.e. 2^3 and so PARTITION of 3 are {1, 1} and {3, 0}. So number of different abelian groups are 2.

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