Gundel Klaas, Charles R. Leedham-Green, Wilhelm Plesken
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...
The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristi...
