# Consider the additive group ℤ(20). (a) How many subgroups does ℤ(20) have? List all the subgroups....

###### Question:

(a) How many subgroups does ℤ(20) have? List all the subgroups. For each of them, give at least one generator.

(b) Describe the subgroup < 2 > ∩ < 5 > (give all the elements, order of the group, and a generator).

(c) Describe the subgroup <2, 5> (give all the elements, order of the group, and a generator).

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