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A cyclic group is always _________(a) abelian group(b) monoid(c) semigroup(d) subgroupThe question was posed to me in my homework.My question is based upon Group Theory in division Groups of Discrete Mathematics

Answer»

The correct option is (a) ABELIAN group

Easy EXPLANATION: A cyclic group is ALWAYS an abelian group but every abelian group is not a cyclic group. For INSTANCE, the rational numbers under addition is an abelian group but is not a cyclic one.



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