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Large p-group actions with a p-elementary abelian derived group.

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorROCHER, Magali
dc.date.accessioned2024-04-04T03:00:41Z
dc.date.available2024-04-04T03:00:41Z
dc.date.created2008-01-24
dc.date.issued2009
dc.identifier.issn0021-8693
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192839
dc.description.abstractEnLet $k$ 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.isoen
dc.publisherElsevier
dc.title.enLarge p-group actions with a p-elementary abelian derived group.
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
dc.identifier.arxiv0801.3834
bordeaux.journalJournal of Algebra
bordeaux.page704-740
bordeaux.volume321
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00216081
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00216081v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Algebra&rft.date=2009&rft.volume=321&rft.issue=2&rft.spage=704-740&rft.epage=704-740&rft.eissn=0021-8693&rft.issn=0021-8693&rft.au=ROCHER,%20Magali&rft.genre=article


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