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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Linear Pro-p-Groups of Finite Width ([EBook] /) / by Gundel Klaas, Charles R. Leedham-Green, Wilhelm Plesken.
Author	Klaas, Gundel
Added Personal Name	Leedham-Green, Charles R. author.
Added Personal Name	Plesken, Wilhelm author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1997.
Physical Details	VIII, 116 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1674
ISBN	9783540696230
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0094086
Links to Related Works	Subject References: Group theory . Group Theory and Generalizations . Mathematics . Authors: Klaas, Gundel . Leedham-Green, Charles R. . Plesken, Wilhelm . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.2 .

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Linear Pro-p-Groups of Finite Width

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