LAUSR

On a generalization of a conjecture of Grosswald

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1 Published in 2020 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2020.02.013

Abstract: Abstract We generalize a conjecture of Grosswald, now a theorem due to Filaseta and Trifonov, stating that the Bessel polynomials, denoted by y n ( x ) , have the associated Galois group S n… read more here.

Keywords: sufficiently large; conjecture grosswald; galois group; conjecture ... See more keywords

Hopf-Galois structures on finite extensions with almost simple Galois group

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1 Published in 2020 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2020.04.003

Abstract: Abstract In this paper, we study the Hopf-Galois structures on a finite Galois extension whose Galois group G is an almost simple group in which the socle A has prime index p. Each Hopf-Galois structure… read more here.

Keywords: almost simple; group; galois group; hopf galois ... See more keywords

GALOIS GROUP OF Xpn+aX+a

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1 Published in 2023 at "Rocky Mountain Journal of Mathematics"

DOI: 10.1216/rmj.2023.53.11

Abstract: . Let p be an odd prime number, n ≥ 3 be a rational integer, and let f ( X ) = X p n + aX + a ∈ Z [ X ] be… read more here.

Keywords: galois group; group; group xpn;