3. Permutation Groups
Symmetric Groups — Quiz
Test your understanding of symmetric groups with 5 practice questions.
Practice Questions
Question 1
What does the symmetric group $S_n$ consist of?
Question 2
How many elements are in $S_4$?
Question 3
Which permutation in $S_3$ fixes every element of $\{1,2,3\}$?
Question 4
Which of the following is a transposition in $S_5$?
Question 5
What is the order of the cycle $(1\,2\,3)$ in $S_3$?