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Intersection of subgroups is a ___________(a) group(b) subgroup(c) semigroup(d) cyclic groupI had been asked this question in an interview.My question comes from Groups topic in chapter Groups of Discrete Mathematics

Answer»

The CORRECT choice is (B) subgroup

For explanation: The subgroup property is intersection closed. An ARBITRARY (nonempty) intersection of SUBGROUPS with this property, ALSO attains the similar property.



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