3. Let G be a group. Take any x,y eG and assume that x and y have finite orders. Prove the following formulae involving the order of an element: (a) [x = [6 marks) (b) [xl-y-xyl [6 marks)
3. Let G be a group. Take any x,y eG and assume that x and y have finite orders. Prove the following formulae involving the order of an element: (a) [x = [6 marks) (b) [xl-y-xyl [6 marks)
