1) The relation of isomorphic = in the set of all groups is an equivalenen relation
2) every homorphism image of a cyclic group is cyclic , but the converse is not true
3) every homomorphism image of an abelian group is abelian , but the converes is not true
2) every homorphism image of a cyclic group is cyclic , but the converse is not true
3) every homomorphism image of an abelian group is abelian , but the converes is not true