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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| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in mathematics
1674 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
Sumário:
- 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.