
Linear Pro-p-Groups of Finite Width
Springer (Publisher)
Published on 4. November 1997
Book
Paperback/Softback
VIII, 116 pages
978-3-540-63643-4 (ISBN)
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.
More details
Series
Edition
1997 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 116 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 8 mm
Weight
201 gr
ISBN-13
978-3-540-63643-4 (9783540636434)
DOI
10.1007/BFb0094086
Schweitzer Classification
Content
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.