Hidden Bibliographic Details
Other authors / contributors: | Leedham-Green, C. R. (Charles Richard), 1940-
Plesken, Wilhelm, 1950-
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ISBN: | 9783540696230 3540696237 3540636439 9783540636434
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Notes: | Includes bibliographical references (pages 109-111) and index. Print version record.
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Summary: | 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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Other form: | Print version: Klaas, G. (Gundel), 1967- Linear pro-p-groups of finite width. Berlin ; New York : Springer, ©1997 3540636439 Print version: Klaas, G. (Gundel), 1967- Linear pro-p-groups of finite width. Berlin ; New York : Springer, ©1997
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