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- catalog abstract "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.".
- catalog contributor b10567556.
- catalog contributor b10567557.
- catalog contributor b10567558.
- catalog created "c1997.".
- catalog date "1997".
- catalog date "c1997.".
- catalog dateCopyrighted "c1997.".
- catalog description "Includes bibliographical references and index.".
- catalog description "Introduction -- Elementary properties of width -- p-adically simple groups (ß-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 -- References -- Notation -- Index.".
- catalog 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.".
- catalog extent "viii, 114 p. ;".
- catalog hasFormat "Linear pro-p-groups of finite width.".
- catalog identifier "3540636439 (alk. paper)".
- catalog isFormatOf "Linear pro-p-groups of finite width.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1674.".
- catalog isPartOf "Lecture notes in mathematics ; 1674".
- catalog issued "1997".
- catalog issued "c1997.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Linear pro-p-groups of finite width.".
- catalog subject "512/.55 21".
- catalog subject "Group theory.".
- catalog subject "Linear algebraic groups.".
- catalog subject "Mathematics.".
- catalog subject "Profinite groups.".
- catalog subject "QA3 .L28 no. 1674".
- catalog subject "p-adic groups.".
- catalog tableOfContents "Introduction -- Elementary properties of width -- p-adically simple groups (ß-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 -- References -- Notation -- Index.".
- catalog title "Linear pro-p-groups of finite width / G. Klaas, C.R. Leedham-Green, W. Plesken.".
- catalog type "text".