Induced Hopf Galois structures and their local Hopf Galois modules
Gil-Munoz, Daniel (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
Rio, Anna (Universitat Politècnica de Catalunya. Departament de Matemàtiques)

Data:	2022
Resum:	The regular subgroup determining an induced Hopf Galois structure for a Galois extension L/K is obtained as the direct product of the corresponding regular groups of the inducing subextensions. We describe here the associated Hopf algebraand Hopf action of an induced structure and we prove that they are obtained by tensoring the corresponding inducing objects. In order to deal with their associated orders we develop a general method to compute bases and free generators in terms of matrices coming from representation theory of Hopf modules. In the case of an induced Hopf Galois structure this allows us to decompose the associated order, assuming that inducing subextensions are arithmetically disjoint.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Associated order ; Hopf galois module theory ; Hopf galois structure
Publicat a:	Publicacions matemàtiques, Vol. 66 Núm. 1 (2022) , p. 99-128 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/396411
DOI: 10.5565/PUBLMAT6612204

30 p, 403.4 KB

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