Cyclic cubic number fields with harmonically balanced capitulation
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| hal.structure.identifier | Centre National de la Recherche Scientifique [CNRS] | |
| dc.contributor.author | ALLOMBERT, Bill | |
| dc.contributor.author | MAYER, Daniel | |
| dc.date.accessioned | 2024-04-04T02:32:18Z | |
| dc.date.available | 2024-04-04T02:32:18Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190372 | |
| dc.description.abstractEn | It is proved that c = 689347 = 31*37*601 is the smallest conductor of a cyclic cubic number field K whose maximal unramified pro-3-extension E = F(3,infinity,K) possesses an automorphism group G = Gal(E/K) of order 6561 with coinciding relation and generator rank d2(G) = d1(G) = 3 and harmonically balanced transfer kernels kappa(G) in S(13). | |
| dc.language.iso | en | |
| dc.subject.en | Finite 3-groups | |
| dc.subject.en | elementary tricyclic commutator quotient | |
| dc.subject.en | relation rank | |
| dc.subject.en | closed groups | |
| dc.subject.en | Schur groups | |
| dc.subject.en | Andozhskii-Tsvetkov groups | |
| dc.subject.en | maximal and second maximal subgroups | |
| dc.subject.en | kernels of Artin transfers | |
| dc.subject.en | abelian quotient invariants | |
| dc.subject.en | rank distribution | |
| dc.subject.en | p-group generation algorithm | |
| dc.subject.en | descendant tree | |
| dc.subject.en | cyclic cubic number fields | |
| dc.subject.en | harmonically balanced capitulation | |
| dc.subject.en | Galois groups | |
| dc.subject.en | 3-class field tower | |
| dc.title.en | Cyclic cubic number fields with harmonically balanced capitulation | |
| dc.type | Document de travail - Pré-publication | |
| dc.type | Prepublication/Preprint | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 2307.13898 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04324884 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04324884v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=ALLOMBERT,%20Bill&MAYER,%20Daniel&rft.genre=preprint&unknown |
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