Linear Pro-p-Groups of Finite Width

• Main Authors: Klaas, Gundel (Author, http://id.loc.gov/vocabulary/relators/aut), Leedham-Green, Charles R. (http://id.loc.gov/vocabulary/relators/aut), Plesken, Wilhelm (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1674
• Subjects: Group theory.; Group Theory and Generalizations.

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...

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.