Question

Number of non isomorphic abelian groups of order p^n is partion of n proof

Answer 1

is not a simple matter to determine how many isomorphism types of groups of ... any particular order is usually not difficult (for example, there is, up to isomorphism, ...

Answer 2

Answer:

n are ∏w(n)i=1p(ai), where p(ai) is the number of partitions of the ith prime number. Here the order is only divisible by 2 and number of partitions of 2 are 2: {0,2} and {1,1}. Hence, the answer is 2.