Answer to Question #218535 in Abstract Algebra for nabeel ahmed

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]