Large p-group actions with a p-elementary abelian derived group.
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | ROCHER, Magali | |
dc.date.accessioned | 2024-04-04T03:00:41Z | |
dc.date.available | 2024-04-04T03:00:41Z | |
dc.date.created | 2008-01-24 | |
dc.date.issued | 2009 | |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192839 | |
dc.description.abstractEn | Let $k$ be an algebraically closed field of characteristic $p>0$ and $C$ a connected nonsingular projective curve over $k$ with genus $g \geq 2$. Let $(C,G)$ be a "big action" , i.e. a pair $(C,G)$ where $G$ is a $p$-subgroup of the $k$-automorphism group of $C$ such that$\frac{|G|}{g} >\frac{2\,p}{p-1}$. We denote by $G_2$ the second ramification group of $G$ at the unique ramification point of the cover $C \rightarrow C/G$. The aim of this paper is to describe the big actions whose $G_2$ is $p$-elementary abelian. In particular, we obtain a structure theorem by considering the $k$-algebra generated by the additive polynomials. We more specifically explore the case where there is a maximal number of jumps in the ramification filtration of $G_2$. In this case, we display some universal families. | |
dc.language.iso | en | |
dc.publisher | Elsevier | |
dc.title.en | Large p-group actions with a p-elementary abelian derived group. | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
dc.identifier.arxiv | 0801.3834 | |
bordeaux.journal | Journal of Algebra | |
bordeaux.page | 704-740 | |
bordeaux.volume | 321 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 2 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00216081 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00216081v1 | |
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