Which one of the following in NOT necessarily a property of a Group? (A) Commutativity

(B) Associativity

(C) Existence of inverse for every element

(D) Existence of identity

Solution by Happy Mittal

By definition, in a group, commutativity is not necessary. So option (A) is correct.



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Which one of the following in NOT necessarily a property of a Group? (A) Commutativity

(B) Associativity

(C) Existence of inverse for every element

(D) Existence of identity

Solution by Happy Mittal[edit]

By definition, in a group, commutativity is not necessary. So option (A) is correct.



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