Linear Pro-p-Groups of Finite Width (e-bog) af Plesken, Wilhelm
Plesken, Wilhelm (forfatter)

Linear Pro-p-Groups of Finite Width e-bog

238,03 DKK (inkl. moms 297,54 DKK)
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. Al...
E-bog 238,03 DKK
Forfattere Plesken, Wilhelm (forfatter)
Forlag Springer
Udgivet 14 november 2006
Genrer PBG
Sprog English
Format pdf
Beskyttelse LCP
ISBN 9783540696230
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.