Hopf Galois structures on separable field extensions of odd prime power degree
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DOI: 10.1016/j.jalgebra.2018.11.004
Abstract: A Hopf Galois structure on a finite field extension $L/K$ is a pair $(\mathcal{H},\mu)$, where $\mathcal{H}$ is a finite cocommutative $K$-Hopf algebra and $\mu$ a Hopf action. In this paper, we present several results on… read more here.
Keywords: field; extension; galois structures; hopf galois ... See more keywords
Hopf-Galois structures on finite extensions with almost simple Galois group
Sign Up to like & getrecommendations! 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