Assignment:
Let Y=(u v/u^4=v^3=1,uv=u^2v^2)
Show that
a) v^2=v^-1
b) v commutes with u^3
c) u commutes with u
d) uv=1
e) show that 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.