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__________ is not necessarily a property of a Group.(a) Commutativity(b) Existence of inverse for every element(c) Existence of Identity(d) AssociativityI have been asked this question in an online quiz.This question is from Groups topic in portion Groups of Discrete Mathematics

Answer»

The correct choice is (a) Commutativity

The EXPLANATION is: Grupoid has closure property; semigroup has closure and ASSOCIATIVE; monoid has closure, associative and identity property; GROUP has closure, associative, identity and INVERSE; the abelian group has group property and commutative.



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