Answer to Question #218573 in Abstract Algebra for shan

Question

Let G be a nonabelian group of order 10 having golden ratio 1+√ 5 2 as the neutral element. Then: (a) Verify class equation for G. (b) Find all elements of Inn(G). (c) Verify that G/Z(G) ∼= Inn(G). (d) For some elements x, y, z ∈ G: verify the commutator identity: [xy, z] = [x, z][x, z, y][y, z]