every subgroup of cyclic group is...
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Cyclic
Explanation:
All subgroups of cyclic group is know as cyclic .
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Theorem: All subgroups of a cyclic group are cyclic. If G=⟨a⟩ is cyclic, then for every divisor d of |G| there exists exactly one subgroup of order d which may be generated by a|G|/d a | G | / d . Proof: Let |G|=dn | G | = d n .
Explanation:
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