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3. 9 let h be the smallest subgroup of q 0...

# Question: 9 let h be the smallest subgroup of q 0...

###### Question details

9. Let H be the smallest subgroup of (Q- {0}, × ), the nonzero rational numbers under multiplication, which contains both 212 and 221.

(a) Describe all elements of H (i.e. the entire set H).

(b) is H cyclic?