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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Linear Pro-P-Groups of Finite Width

Linear Pro-P-Groups of Finite Width

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

Paperback

Series: Lecture Notes in Mathematics, Book 1674

AlgebraGeneral Mathematics

ISBN10: 3540636439
ISBN13: 9783540636434
Publisher: Springer Nature
Published: Nov 4 1997
Pages: 116
Weight: 0.41
Height: 0.26 Width: 6.14 Depth: 9.21
Language: English
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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