Assignment:
Q1. Show that the relations a^4 = 1, b^2 = a^2 and b^(-1)ab = a^(-1) define a group of order 8. (It is called the "quaternion group".)
Q2. Show that this group is not isomporphic to Δ4 (also of order 8).
Provide complete and step by step solution for the question and show calculations and use formulas.