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Home > Mathematics and Science Textbooks > Mathematics > Algebra > Linear Pro-p-Groups of Finite Width: (1674 Lecture Notes in Mathematics)
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Linear Pro-p-Groups of Finite Width: (1674 Lecture Notes in Mathematics)

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


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About the Book

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.

Table of Contents:
Elementary properties of width.- p-adically simple groups .- Periodicity.- Chevalley groups.- Some classical groups.- Some thin groups.- Algorithms on fields.- Fields of small degree.- Algorithm for finding a filtration and the obliquity.- The theory behind the tables.- Tables.- Uncountably many just infinite pro-p-groups of finite width.- Some open problems.


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Product Details
  • ISBN-13: 9783540636434
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 116
  • Returnable: Y
  • Width: 155 mm
  • ISBN-10: 3540636439
  • Publisher Date: 04 Nov 1997
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: 1674 Lecture Notes in Mathematics


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

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