14. Final Review

Key Themes In Final Review — Quiz

Test your understanding of key themes in final review with 5 practice questions.

Practice Questions

Question 1

For a homomorphism $\varphi:G\to H$, what is the kernel of $\varphi$?

Question 2

If $H$ is a subgroup of $G$ and $a\in G$, what is $aH$ called?

Question 3

If $|G|=12$, which number can be the order of a subgroup of $G$?

Question 4

Which condition must a map $\varphi:G\to H$ satisfy to be a group homomorphism?

Question 5

A group isomorphism is a homomorphism that is...