Let (N.) be an abelian group (i.e. the operation is commutative) such that the identity element...

 

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Let (N.) be an abelian group (i.e. the operation is commutative) such that the identity element of the group is 2 and that 1 is the inverse of 3. We can create a new binary operation from the operation * by defining a b=a1 b. Prove that N is a group under the operation. Let (N.) be an abelian group (i.e. the operation is commutative) such that the identity element of the group is 2 and that 1 is the inverse of 3. We can create a new binary operation from the operation * by defining a b=a1 b. Prove that N is a group under the operation.