No.
Chat with our AI personalities
every abelian group is not cyclic. e.g, set of (Q,+) it is an abelian group but not cyclic.
Yes, every subgroup of a cyclic group is cyclic because every subgroup is a group.
No.
Abelian meaning commutative. If the symmetry group of a square is commutative then it's an abelian group or else it's not.
No! Take the quaternion group Q_8.