Hopf-Galois Structures of Squarefree Degree

2019/10/17 by Alabdali, Ali A., Byott, Nigel P. · 1 citation
#12F10 #16T05 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1910.07811

Abstract

Let n be a squarefree natural number, and let G, Γ be two groups of order n. We determine the number of Hopf-Galois structures of type G admitted by a Galois extension of fields with Galois group isomorphic to Γ. We give some examples, including a full treatment of the case where n is the product of three primes.

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