Linear Pro-p-Groups of Finite Width
Gundel Klaas, Charles R. Leedham-Green, Wilhelm PleskenThe 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.
年:
1997
出版:
1
出版社:
Springer-Verlag Berlin Heidelberg
语言:
english
页:
116
ISBN 10:
3540636439
ISBN 13:
9783540636434
系列:
Lecture Notes in Mathematics 1674
文件:
DJVU, 799 KB
IPFS:
,
english, 1997
因版权方投诉,本书无法下载