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Lagrange’s theorem specifies __________(a) the order of semigroup is finite(b) the order of the subgroup divides the order of the finite group(c) the order of an abelian group is infinite(d) the order of the semigroup is added to the order of the groupI had been asked this question by my college director while I was bunking the class.This intriguing question comes from Groups in portion Groups of Discrete Mathematics

Answer»

Correct answer is (b) the ORDER of the SUBGROUP divides the order of the finite GROUP

The explanation is: Lagrange’s theorem SATISFIES that the order of the subgroup divides the order of the finite group.



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