Question

Prove that all roots of the equation x⁴=1 form a commutative group under the Operation Multiplication

Answer 1

Answer:

Finite Group Z6. One of the two groups of Order 6 which, unlike , is Abelian. ... The elements of the group satisfy , where 1 is the Identity Element, three elements satisfy , and two elements satisfy . The Cycle Graph is shown above, and the Multiplication Table is given below.