If you find any mistakes, please make a comment! Thank you.

Compute the center of Dih(2n)

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 2.2 Exercise 2.2.7

Let $n \in \mathbb{Z}$ with $n \geq 3$. Prove the following.

(1) $Z(D_{2n}) = 1$ if $n$ is odd.
(2) $Z(D_{2n}) = \{ 1, r^k \}$ if $n = 2k$ is even.


(1) This is the content of Exercise 1.2.4.

(2) This is the content of Exercise 1.2.5.


This website is supposed to help you study Linear Algebras. Please only read these solutions after thinking about the problems carefully. Do not just copy these solutions.
Close Menu