Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces

Crespo Vicente, Teresa2022-11-072023-01-312021-010021-8693https://hdl.handle.net/2445/190525We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding skew left braces. Besides we determine the separable field extensions of degree twice an odd prime square allowing a cyclic Hopf Galois structure and the number of these structures.27 p.application/pdfeng(c) Elsevier, 2021Àlgebres de HopfTeoria de GaloisHopf algebrasGalois theoryHopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left bracesinfo:eu-repo/semantics/article7077022022-11-07info:eu-repo/semantics/openAccess