| dc.contributor.author | Byott, NP | |
| dc.date.accessioned | 2018-06-29T13:19:41Z | |
| dc.date.issued | 2011 | |
| dc.description.abstract | Let S/R be a finite extension of discrete valuation rings of characteristic p>0, and suppose that the corresponding extension L/K of fields of fractions is separable and is H-Galois for some K-Hopf algebra H. Let DS/R be the different of S/R. We show that if S/R is totally ramified and its degree n is a power of p, then any element ρ of L with vL(ρ)≡−vL(DS/R)−1(modn) generates L as an H-module. This criterion is best possible. These results generalise to the Hopf-Galois situation recent work of G. G. Elder for Galois extensions. | en_GB |
| dc.identifier.citation | Vol. 23, pp. 59 - 70 | en_GB |
| dc.identifier.uri | http://hdl.handle.net/10871/33330 | |
| dc.language.iso | en | en_GB |
| dc.publisher | Société Arithmétique de Bordeaux | en_GB |
| dc.relation.url | http://jtnb.cedram.org/item?id=JTNB_2011__23_1_59_0 | en_GB |
| dc.rights.embargoreason | Under temporary embargo pending publisher permission. | en_GB |
| dc.rights | © Société Arithmétique de Bordeaux, 2011 tous droits réservés | en_GB |
| dc.subject | Normal basis | en_GB |
| dc.subject | Hopf-Galois extensions | en_GB |
| dc.subject | local fields | en_GB |
| dc.title | A Valuation Criterion for Normal Basis Generators of Hopf-Galois Extensions in Characteristic p | en_GB |
| dc.type | Article | en_GB |
| dc.description | This is the author accepted manuscript. The final version is available from the publisher via the DOI in this record | en_GB |
| dc.identifier.journal | Journal de Theorie des Nombres de Bordeaux | en_GB |
