3. Permutation Groups

Products And Inverses — Quiz

Test your understanding of products and inverses with 5 practice questions.

Practice Questions

Question 1

What is the inverse of $(1\,2)$?

Question 2

What is the inverse of $(1\,2\,3)$?

Question 3

Let $\sigma=(1\,2)$ and $\tau=(3\,4)$. Using the convention that $\sigma\tau$ means apply $\tau$ first and then $\sigma$, what is $\sigma\tau(3)$?

Question 4

Which expression equals $(\alpha\beta)^{-1}$ for permutations $\alpha$ and $\beta$?

Question 5

What is the inverse of $(1\,2)(3\,4)$?