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  3. let g be a cyclic group generated by an element a.

Let G be a cyclic group generated by an element a. a) Prove that if an...

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Advance Math

Let G be a cyclic group generated by an element a.

a) Prove that if an = e for some n ? Z, then G isfinite.

b) Prove that if G is an infinite cyclic group then it containsno nontrivial finite subgroups. (Hint: use part (a))

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