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- W4288804676 abstract "Let $L(x)$ be any $q$-linearized polynomial with coefficients in $mathbb{F}_q$, of degree $q^n$. We consider the Galois group of $L(x)+tx$ over $mathbb{F}_q(t)$, where $t$ is transcendental over $mathbb{F}_q$. We prove that when $n$ is a prime, the Galois group is always $GL(n,q)$, except when $L(x)=x^{q^n}$. Equivalently, we prove that the arithmetic monodromy group of $L(x)/x$ is $GL(n,q)$." @default.
- W4288804676 created "2022-07-30" @default.
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- W4288804676 date "2022-07-28" @default.
- W4288804676 modified "2023-10-17" @default.
- W4288804676 title "On Galois groups of linearized polynomials related to the general linear group of prime degree" @default.
- W4288804676 doi "https://doi.org/10.48550/arxiv.2207.14113" @default.
- W4288804676 hasPublicationYear "2022" @default.
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