7. Group Actions or Advanced Group Topics

Or Review Of Quotient Structures — Quiz

Test your understanding of or review of quotient structures with 5 practice questions.

Practice Questions

Question 1

If $N$ is a normal subgroup of $G$, what is an element of the quotient group $G/N$?

Question 2

Which condition on a subgroup $H$ is needed so that $G/H$ is a quotient group?

Question 3

What is the identity element of the quotient group $G/N$?

Question 4

If $|G| = 12$ and $|N| = 3$ with $N \trianglelefteq G$, what is $|G/N|$?

Question 5

In $\mathbb{Z}/6\mathbb{Z}$, what is $[11]$?