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...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1997, 1997
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| Edition: | 1st ed. 1997 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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