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Linear Pro-p-Groups of Finite Width by Gundel Klaas
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Linear Pro-p-Groups of Finite Width

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Description

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.
Release date Australia
November 4th, 1997
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
VIII, 116 p.
Pages
116
Dimensions
156x234x6
ISBN-13
9783540636434
Product ID
2801819

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Groups & group theory