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On the Field Isomorphism Problem for the family of simplest quartic fields

Year: 2025
Type: article
Abstract: Deciding whether or not two polynomials have isomoprhic splitting fields over the rationals is the Field Isomorphism Problem. We consider polynomials of the form $f_n(x) = x^4-nx^3-6x^2+nx+1$ with $n \neq 3$ a positive integer and we let $K_n$ denote the
Language: English
Open Access status: green
OpenAlex ID: W4407035587
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