Linear Pro-p-Groups of Finite Width
The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristic p analogues are investigated. These groups have finite width, i.e. the indices of the sucessive terms of the lower central series are bounded since they become pe...
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| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| سلاسل: | Lecture notes in mathematics
1674 |
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| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Linear pro-p-groups of finite width, G. Klaas, C.R. Leedham-Green, W. Plesken, 1997, Berlin, Springer, 1 volume (VIII-114 pages), Lecture notes in mathematics, 3-540-63643-9 • Linear Pro-p-Groups of Finite Width, Texte imprimé, 9783662165942 |
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| 001 | 970446 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155190644 | ||
| 020 | |a 9783540696230 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 082 | |a 512.55 | ||
| 100 | 1 | |a Klaas, Gundel, |d 1967- | |
| 245 | 1 | 0 | |a Linear Pro-p-Groups of Finite Width |c Gundel Klaas, Charles R. Leedham-Green, Wilhelm Plesken. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1674 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Elementary properties of width -- p-adically simple groups -- Periodicity -- Chevalley groups -- Some classical groups -- Some thin groups -- Algorithms on fields -- Fields of small degree -- Algorithm for finding a filtration and the obliquity -- The theory behind the tables -- Tables -- Uncountably many just infinite pro-p-groups of finite width -- Some open problems. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristic p analogues are investigated. These groups have finite width, i.e. the indices of the sucessive terms of the lower central series are bounded since they become periodic. The richness of the lattice of normal subgroups is studied by the notion of obliquity. All just infinite maximal groups with Lie algebras up to dimension 14 and most Chevalley groups and classical groups in characteristic 0 and p are covered. The methods use computers in small cases and are purely theoretical for the infinite series using root systems or orders with involutions. | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Groupes de Chevalley | ||
| 650 | |a Groupes p-adiques | ||
| 700 | 1 | |a Plesken, Wilhelm, |d 1950- |4 aut | |
| 700 | 1 | |a Leedham-Green, Charles Richard, |d 1940- |4 aut | |
| 776 | 0 | |0 045566518 |t Linear pro-p-groups of finite width |f G. Klaas, C.R. Leedham-Green, W. Plesken |d 1997 |c Berlin |n Springer |p 1 volume (VIII-114 pages) |s Lecture notes in mathematics |z 3-540-63643-9 | |
| 776 | 0 | |t Linear Pro-p-Groups of Finite Width |b Texte imprimé |z 9783662165942 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0094086 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-XP6CTCFR-G |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750663081 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0094086 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754012522 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0094086 |z Accès INSA CVL | |
| 997 | |0 970446 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||