ENGLISH

Theory of sets

By Nicolas Bourbaki

Book information

Publisher
Hermann
Year
1968
ASIN
B0006C5TOY
Language
english
Format
DJVU
Filesize
3 MB (3192825 bytes)
Series
Actualites scientifiques et industrielles
Pages
424\424
Topic
Mathematics Algebra
Library
Kolxo3
DPI
150
Scanned
yes
Time added
2009-07-20 03:45:11

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.

Similar books