5. Normal Subgroups and Quotient Groups

Normality — Quiz

Test your understanding of normality with 5 practice questions.

Practice Questions

Question 1

A subgroup $N$ of a group $G$ is normal when which condition holds for every $g\in G$?

Question 2

What is true about every subgroup of an abelian group?

Question 3

Which statement is always true if $N\trianglelefteq G$?

Question 4

Which subgroup of $S_3$ is not normal?

Question 5

If $\varphi:G\to H$ is a group homomorphism, what can be said about $\ker(\varphi)$?