ON GALOIS GROUPS OF POWER COMPOSITIONAL NONIC POLYNOMIALS
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DOI: 10.1017/s0004972725000048
Abstract: Abstract Let $g(x)=x^3+ax^2+bx+c$ and $f(x)=g(x^3)$ be irreducible polynomials with rational coefficients, and let $ {\mathrm{Gal}}(f)$ be the Galois group of $f(x)$ over $\mathbb {Q}$ . We show $ {\mathrm{Gal}}(f)$ is one of 11 possible transitive… read more here.
Keywords: galois groups; compositional nonic; mathrm gal; groups power ... See more keywords