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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… Click to show full 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 is associated to a group N of the same order as G. We shall give necessary criteria on these N in terms of their group-theoretic properties, and determine the number of Hopf-Galois structures associated to A × C p , where C p is the cyclic group of order p.
Keywords:
almost simple;
group;
galois group;
hopf galois;
galois structures;
structures finite
Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
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Journal Title: Journal of Number Theory
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!