Matches in SemOpenAlex for { <https://semopenalex.org/work/W2035953246> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W2035953246 endingPage "89" @default.
- W2035953246 startingPage "55" @default.
- W2035953246 abstract "Soient k un corps de nombres et Ok son anneau d'entiers. Soit p un nombre premier impair. Soit Γ un groupe non abélien d'ordre p3. Soient M un Ok-ordre maximal dans l'algèbre semi-simple k[Γ] contenant Ok[Γ], et Cl(M) le groupe des classes des M-modules localement libres. On définit l'ensemble R(M) des classes réalisables comme étant l'ensemble des classes c∈Cl(M) telles qu'il existe une extension N/k modérément ramifiée, à groupe de Galois isomorphe à Γ, avec la classe de M⊗Ok[Γ]ON égale c, où ON est l'anneau des entiers de N. Soit ξ (resp. ξp2) une racine primitive p-ième (resp. p2-ième) de l'unité. Dans cet article, sous l'hypothèse que k/Q et Q(ξ)/Q sont linéairement disjointes et k(ξp2)/k(ξ) non ramifiée lorsque Γ est d'exposant p2, on définit un sous-ensemble de Cl(M) par l'intermédiaire d'un idéal de Stickelberger, et on montre qu'il est un sous-groupe de Cl(M) contenu dans R(M). Let k be a number field and Ok its ring of integers. Let p be an odd prime number. Let Γ be a non-abelian group of order p3. Let M be a maximal Ok-order in the semi-simple algebra k[Γ] containing Ok[Γ], and let Cl(M) be its locally free classgroup. We define the set R(M) of realizable classes to be the set of classes c∈Cl(M) such that there exists a Galois extension N/k which is tame, with Galois group isomorphic to Γ, and for which the class of M⊗Ok[Γ]ON is equal to c, where ON is the ring of integers of N. Let ξ (resp. ξp2) be a primitive pth (resp. p2th) root of unity. In the present article, under the hypothesis that k/Q and Q(ξ)/Q are linearly disjoint and k(ξp2)/k(ξ) is not ramified when Γ has exponent p2, we define a subset of R(M) by means of a Stickelberger ideal, and prove that it is a subgroup of Cl(M) contained in R(M)." @default.
- W2035953246 created "2016-06-24" @default.
- W2035953246 creator A5022091987 @default.
- W2035953246 creator A5062464873 @default.
- W2035953246 date "2015-07-01" @default.
- W2035953246 modified "2023-10-13" @default.
- W2035953246 title "Classes réalisables d'extensions non abéliennes de degré p3" @default.
- W2035953246 cites W118774816 @default.
- W2035953246 cites W1558606648 @default.
- W2035953246 cites W1576679503 @default.
- W2035953246 cites W1596298884 @default.
- W2035953246 cites W1964438573 @default.
- W2035953246 cites W1976182547 @default.
- W2035953246 cites W1982326408 @default.
- W2035953246 cites W1991330793 @default.
- W2035953246 cites W2008806762 @default.
- W2035953246 cites W2019982704 @default.
- W2035953246 cites W2029693182 @default.
- W2035953246 cites W2030431169 @default.
- W2035953246 cites W2035787234 @default.
- W2035953246 cites W2043791266 @default.
- W2035953246 cites W2086054319 @default.
- W2035953246 cites W2090388949 @default.
- W2035953246 cites W2090449853 @default.
- W2035953246 cites W2148436484 @default.
- W2035953246 cites W2324357577 @default.
- W2035953246 cites W31819375 @default.
- W2035953246 cites W605691493 @default.
- W2035953246 doi "https://doi.org/10.1016/j.jnt.2014.12.010" @default.
- W2035953246 hasPublicationYear "2015" @default.
- W2035953246 type Work @default.
- W2035953246 sameAs 2035953246 @default.
- W2035953246 citedByCount "1" @default.
- W2035953246 countsByYear W20359532462018 @default.
- W2035953246 crossrefType "journal-article" @default.
- W2035953246 hasAuthorship W2035953246A5022091987 @default.
- W2035953246 hasAuthorship W2035953246A5062464873 @default.
- W2035953246 hasBestOaLocation W20359532461 @default.
- W2035953246 hasConcept C10138342 @default.
- W2035953246 hasConcept C114614502 @default.
- W2035953246 hasConcept C12657307 @default.
- W2035953246 hasConcept C136170076 @default.
- W2035953246 hasConcept C162324750 @default.
- W2035953246 hasConcept C182306322 @default.
- W2035953246 hasConcept C33923547 @default.
- W2035953246 hasConceptScore W2035953246C10138342 @default.
- W2035953246 hasConceptScore W2035953246C114614502 @default.
- W2035953246 hasConceptScore W2035953246C12657307 @default.
- W2035953246 hasConceptScore W2035953246C136170076 @default.
- W2035953246 hasConceptScore W2035953246C162324750 @default.
- W2035953246 hasConceptScore W2035953246C182306322 @default.
- W2035953246 hasConceptScore W2035953246C33923547 @default.
- W2035953246 hasLocation W20359532461 @default.
- W2035953246 hasLocation W20359532462 @default.
- W2035953246 hasLocation W20359532463 @default.
- W2035953246 hasOpenAccess W2035953246 @default.
- W2035953246 hasPrimaryLocation W20359532461 @default.
- W2035953246 hasRelatedWork W1541818783 @default.
- W2035953246 hasRelatedWork W1979597421 @default.
- W2035953246 hasRelatedWork W1987894575 @default.
- W2035953246 hasRelatedWork W2007980826 @default.
- W2035953246 hasRelatedWork W2061531152 @default.
- W2035953246 hasRelatedWork W2085020044 @default.
- W2035953246 hasRelatedWork W3002753104 @default.
- W2035953246 hasRelatedWork W4225152035 @default.
- W2035953246 hasRelatedWork W4245490552 @default.
- W2035953246 hasRelatedWork W4299849194 @default.
- W2035953246 hasVolume "152" @default.
- W2035953246 isParatext "false" @default.
- W2035953246 isRetracted "false" @default.
- W2035953246 magId "2035953246" @default.
- W2035953246 workType "article" @default.