Abelian Groups For each set (R) and operator (P) described below, explain why it is not an Abelian group (defined in Class 22). Your answer should include a convincing supporting argument that shows why the given set and operator do not satisfy at least one of the required properties. R- Z, P- gcd where gcd is a binary operator that takes two integers as input and outputs their greatest common divisor. 3. 4, R=Z,P= 5. R- T, F), P OR. (Hint: what must the identity be, and which element has no inverse?) Abelian Groups For each set (R) and operator (P) described below, explain why it is not an Abelian group (defined in Class 22). Your answer should include a convincing supporting argument that shows why the given set and operator do not satisfy at least one of the required properties. R- Z, P- gcd where gcd is a binary operator that takes two integers as input and outputs their greatest common divisor. 3. 4, R=Z,P= 5. R- T, F), P OR. (Hint: what must the identity be, and which element has no inverse?)