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__________ is not necessarily a property of a Group.

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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) Associativity

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This question is from Groups topic in portion Groups of Discrete Mathematics

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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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