Linear Pro-p-Groups of Finite Width

Gundel Klaas

ISBN 10: 3540636439 / ISBN 13: 9783540636434

Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1997, 1997

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 124 pp. Englisch.

Bestandsnummer des Verkäufers 9783540636434

Bibliografische Details

• Titel: Linear Pro-p-Groups of Finite Width
• Verlag: Springer Berlin Heidelberg, Springer Berlin Heidelberg Nov 1997
• Erscheinungsjahr: 1997
• Sprache: Englisch
• ISBN-10: 3540636439
• ISBN-13: 9783540636434
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 8 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 8 mm
• Gewicht: 201 Gramm

Über diesen Titel

Inhaltsangabe

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.