Field of Order p^2 Exists for Every Prime p

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Homework Statement



Show that a field of order p2 exists for every prime p.


The Attempt at a Solution



In an earlier problem I found that there were p2 monic quadratics in Zp[x], but I don't know if that's useful. Any ideas or theorems would be super helpful, thanks!
 
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Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
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