Construct a polynomial $f$ over $\mathbb{Q}$ such that the galois group of the splitting field of $f$ is the monster group
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- closed
- 1363 views
- $5.00
Related Questions
- Points of intersection between a vertical and horizontal parabola
- Recursive square root sequence
- Use Rouche’s Theorem to show that all roots of $z ^6 + (1 + i)z + 1 = 0$ lines inside the annulus $ \frac{1}{2} \leq |z| \leq \frac{5}{4}$
- MAT-144 Assignment
- Representation theory 2 questions
- Fields and Galois theory
- Given that $-6x \equiv -8 \pmod{7}$, show that $x \equiv 6 \pmod{7}$
- Let $R$ be an integral domain and $M$ a finitely generated $R$-module. Show that $rank(M/Tor(M))$=$rank(M)$
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