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Linear Pro-P-Groups of Finite Width

Linear Pro-P-Groups of Finite Width - Lecture Notes in Mathematics

1997

Paperback (04 Nov 1997)

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Publisher's 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.

Book information

ISBN: 9783540636434
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 1997
DEWEY: 512.55
DEWEY edition: 21
Language: English
Number of pages: 114
Weight: 410g
Height: 234mm
Width: 156mm
Spine width: 6mm