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: New

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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.

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