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From Galois to Hopf Galois: theory and practice

Author
Crespo, T.; Rio, A.; Vela, M.
Type of activity
Journal article
Journal
Contemporary mathematics
Date of publication
2015-09
Volume
649
First page
29
Last page
46
DOI
https://doi.org/10.1090/conm/649/13018 Open in new window
Repository
http://hdl.handle.net/2117/80188 Open in new window
Abstract
Hopf Galois theory expands the classical Galois theory by con- sidering the Galois property in terms of the action of the group algebra k [ G ] on K/k and then replacing it by the action of a Hopf algebra. We review the case of separable extensions where the Hopf Galois property admits a group-theoretical formulation suitable for counting and classifying, and also to perform explicit computations and explic it descriptions of all the ingredients involved in a Hopf Galois structure. At the end we...
Citation
Crespo, T., Rio, A., Vela, M. From Galois to Hopf Galois: theory and practice. "Contemporary mathematics", Setembre 2015, vol. 649, p. 29-46.
Group of research
TN - Number Theory Research Group

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