4. Cosets and Lagrange’s Theorem
Orders Of Elements — Quiz
Test your understanding of orders of elements with 5 practice questions.
Practice Questions
Question 1
What is the order of an element $a$ in a group?
Question 2
What is the order of the identity element $e$ in any group?
Question 3
In the additive group $\mathbb{Z}_6$, what is the order of $[2]$?
Question 4
In the additive group $\mathbb{Z}_8$, what is the order of $[4]$?
Question 5
In the additive group $\mathbb{Z}_{12}$, what is the order of $[3]$?