72. Every thing about the group Q/Z | very important group | Group Theory | AdnanAlig

if g/h is cyclic then g is cyclic,if g/h is cyclic then g is abelian,If G is a cyclic group and N is a subgroup of G then prove that G/N is a cyclic group, If G is an abelian group and N is a normal subgroup of G then prove that G/N is an abelian group,Let N be a subgroup of the center of G show that if G/N is a cyclic group then G must be abelian,