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Hopf Galois structures on symmetric and alternating extensions

Author
Rio, A.; Vela, M.; Crespo, T.
Type of activity
Journal article
Journal
New York journal of mathematics
Date of publication
2018
Volume
24
First page
451
Last page
457
Project funding
Computational Methods in Number Theory
Repository
http://hdl.handle.net/2117/124086 Open in new window
URL
http://nyjm.albany.edu/j/2018/24-26v.pdf Open in new window
Abstract
By using a recent theorem by Koch, Kohl, Truman and Underwood on normality, we determine that some types of Hopf Galois structures do not occur on Galois extensions with Galois group isomorphic to alternating or symmetric groups. Our theory of induced Hopf Galois structures allows us to obtain the whole picture of types of Hopf Galois structures on A4-extensions, S4-extensions, and S5-extensions. Combining it with a result of Carnahan and Childs, we obtain a complete count of the Hopf Galois str...
Citation
Rio, A., Vela, M., Crespo, T. Hopf Galois structures on symmetric and alternating extensions. "New York journal of mathematics", 2018, vol. 24, p. 451-457.
Group of research
TN - Number Theory Research Group

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