Assignment:
Q1. If x is an element of a group and x is of order n then the elements 1, x, x^2,...x^n-1 are distinct
Q2. Let Y= Y here is a group show
a) v^2=v^-1
b) v commutes with u^3
c) v commutes with u
d)uv=1
e)u=1, deduce that v=1 and conclude that Y=1
Provide complete and step by step solution for the question and show calculations and use formulas.