Let be an automorphism of D8 What are the possibilities for

Let be an automorphism of D8. What are the possibilities for (R45)

Please Step By Step

Hi, I am Waqar, please find the proceedure you should follow to solve this problem.

:if Aut (D8) then |(R45)| = |R45| = 8.

=> So (R45) must be a rotation of order 8 as well.

=> (R45) = (R45), (R135), (R225) or (R315).

Happy to help you

Waqar

Happychegging