Linear pro-p-groups of finite width /

Linear pro-p-groups of finite width /

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Bibliographic Details
Author / Creator:	Klaas, G. (Gundel), 1967-
Imprint:	Berlin ; New York : Springer, ©1997.
Description:	1 online resource (viii, 114 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1674 Lecture notes in mathematics (Springer-Verlag) ; 1674.
Subject:	Linear algebraic groups. Profinite groups. p-adic groups. Linear algebraic groups. p-adic groups. Profinite groups.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11065947

Hidden Bibliographic Details
Other authors / contributors:	Leedham-Green, C. R. (Charles Richard), 1940- Plesken, Wilhelm, 1950-
ISBN:	9783540696230 3540696237 3540636439 9783540636434
Notes:	Includes bibliographical references (pages 109-111) and index. Print version record.
Summary:	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.
Other form:	Print version: Klaas, G. (Gundel), 1967- Linear pro-p-groups of finite width. Berlin ; New York : Springer, ©1997 3540636439 Print version: Klaas, G. (Gundel), 1967- Linear pro-p-groups of finite width. Berlin ; New York : Springer, ©1997

Table of Contents:

Introduction
Elementary properties of width
p-adically simple groups ( -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
References
Notation
Index.