# Construct a polynomial $f$ over $\mathbb{Q}$ such that the galois group of the splitting field of $f$ is the monster group

The problem is pretty self-explanatory in the title.

• 5$for an open problem? More seriously, it doesn't make a lot of sense to ask for an explicit polynomial. Check this for more info. https://www.quora.com/What-is-known-about-the-polynomial-of-which-the-Monster-group-is-the-Galois-group • @ Alessandro: That's exactly what I was also thinking. • This website isn't here for people to post trivial homework questions ◔_◔ • @Alessandro Iraci yes but I want an explicit polynomial • closed • 249 views •$5.00