# Quaternion group

1. Dec 12, 2013

### LagrangeEuler

1. The problem statement, all variables and given/known data
Obtain multiplication table for quaternion group.

2. Relevant equations

$i^2=j^2=k^2=ijk=-1$
3. The attempt at a solution

I have problem with elements for example $ji$ in the table. For example when I have $ij$ I say
$ijk=-1$ and $k^2=-1$ so $ij=k$. But what in the case of $ji$? I do not know how to obtain this result.

2. Dec 12, 2013

### D H

Staff Emeritus
What do you get if you post-multiply (ji) by (ijk)?

3. Dec 12, 2013

Tnx!