a * H = H * a relation holds if __________(a) H is semigroup of an abelian group(b) H is monoid of a group(c) H is a cyclic group(d) H is subgroup of an abelian groupI got this question in an interview for internship.The above asked question is from Groups in division Groups of Discrete Mathematics

a * H = H * a relation holds if __________(a) H is semigroup of an abe

1.	a * H = H * a relation holds if __________(a) H is semigroup of an abelian group(b) H is monoid of a group(c) H is a cyclic group(d) H is subgroup of an abelian groupI got this question in an interview for internship.The above asked question is from Groups in division Groups of Discrete Mathematics
Answer» The CORRECT OPTION is (d) H is subgroup of an abelian GROUP For explanation: If h is the subgroup of an abelian group G, then the set of left cosets of H in G is to be set of right cosets i.e, a * H = H * a. Hence, subgroup is CALLED the normal subgroup.

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a * H = H * a relation holds if __________(a) H is semigroup of an abelian group(b) H is monoid of a group(c) H is a cyclic group(d) H is subgroup of an abelian groupI got this question in an interview for internship.The above asked question is from Groups in division Groups of Discrete Mathematics

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