ENGLISH

Linear Pro-p-Groups of Finite Width

By Gundel Klaas , Charles R. Leedham-Green , Wilhelm Plesken (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1997
ISBN
3540636439, 9783540636434
DOI
10.1007/BFb0094086
LCC
QA3 .L28 no. 1674
Open Library ID
OL691569M
Language
english
Format
PDF
Filesize
5 MB (5306033 bytes)
Series
Lecture Notes in Mathematics 1674
Edition
1
Pages
116\123
Orientation
yes
Scanned
yes
Time added
2012-02-04 16:00:00
Group Theory and Generalizations

Description

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.

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