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- W4299660223 abstract "For every nonconstant polynomial $finmathbb Q[x]$, let $Phi_{4,f}$ denote the fourth dynatomic polynomial of $f$. We determine here the structure of the Galois group and the degrees of the irreducible factors of $Phi_{4,f}$ for every quadratic polynomial $f$. As an application we prove new results related to a uniform boundedness conjecture of Morton and Silverman. In particular we show that if $f$ is a quadratic polynomial, then, for more than $39%$ of all primes $p$, $f$ does not have a point of period four in $mathbb Q_p$." @default.
- W4299660223 created "2022-10-02" @default.
- W4299660223 creator A5055440955 @default.
- W4299660223 date "2017-07-08" @default.
- W4299660223 modified "2023-09-25" @default.
- W4299660223 title "Galois groups in a family of dynatomic polynomials" @default.
- W4299660223 doi "https://doi.org/10.48550/arxiv.1707.02501" @default.
- W4299660223 hasPublicationYear "2017" @default.
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