Lines of polynomials with alternating Galois group

2022/05/03 by Nuno Arala, Arala, Nuno · 1 voice
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2205.01502

openalex publication_date 2022/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the problem of existence of one-parameter, linear families of polynomials of degree n all of whose polynomials have Galois group A_n. The methods we use have a strong geometric flavour.

Discussions

• It feels appropriate to mention that this problem has been studied in this paper by Nuno Arala: Lines of polynomials with alternating Galois group . In particular, he shows that for each odd $n \geq 3 [stackexchange, 1 points]

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