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How many different non-isomorphic Abelian groups of order 4 are there?

  1. 2
  2. 3
  3. 4

this is already discussed here https://gateoverflow.in/1219/gate2007-21

doubt 1 - here how do we ensure that the splits formed are abelian groups ?

doubt 2 - if order of the group can be prime factorised then its sure to be abelian ?

doubt 3 - how is non isomorphism proved in the solution?

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