- #1

- 1,456

- 44

## Homework Statement

Find, with justification, an injective group homomorphism from ##D_{2n}## into ##S_n##.

## Homework Equations

## The Attempt at a Solution

So I'm thinking that the idea is to map ##r## and ##s## to elements in ##S_n## that obey the same relations that r and s satisfy. I can see how this might be done with a concrete example: maybe with n = 4 I could map r to (1234) and s to (24). But I don't really see how to do this in the general case.