Mark each of the following true or false. 

___ a. Every cyclic group is abelian. 

___ b. Every abelian group is cyclic. 

___ c. Q under addition is a cyclic group. 

___ d. Every element of every cyclic group generates the group. 

___ e. There is at least one abelian group of every finite order > 0.

___ f. Every group of order ≤ 4 is cyclic.

___ g. All generators of Z₂₀ are prime numbers. 

___ h. If G and G' are groups, then G ∩ G' is a group.

___ i. If H and K are subgroups of a group G then H ∩ K is a group.

___ j. Every cyclic group of order >2 has at least two distinct generators.