Linear Pro-p-Groups of Finite Width (Lecture Notes in Mathematics, 1674)

Klaas, Gundel; Leedham-Green, Charles R.; Plesken, Wilhelm

ISBN 10: 3540636439 / ISBN 13: 9783540636434

Published by Springer, 1997

About this Item

A copy that has been read, remains in good condition. All pages are intact, and the cover is intact. The spine and cover show signs of wear. Pages can include notes and highlighting and show signs of wear, and the copy can include "From the library of" labels or previous owner inscriptions. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships via media mail.

Seller Inventory # OTV.3540636439.G

Bibliographic Details

• Title: Linear Pro-p-Groups of Finite Width (Lecture Notes in Mathematics, 1674)
• Publisher: Springer
• Publication Date: 1997
• Language: English
• ISBN 10: 3540636439
• ISBN 13: 9783540636434
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.