Finiteness Properties of Arithmetic Groups Acting on Twin Buildings: 2109 (Lecture Notes in Mathematics, 2109) - Softcover

Witzel, Stefan

Softcover

ISBN 10: 3319064762 ISBN 13: 9783319064765

Publisher: Springer, 2014

Synopsis

Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S has only two places, one can instead make use of the theory of twin buildings.

About this title

From the Back Cover

Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S has only two places, one can instead make use of the theory of twin buildings.

Edition details

• Publisher: Springer
• Publication date: 2014
• Language: English
• ISBN 10: 3319064762
• ISBN 13: 9783319064765
• Binding: Paperback
• Number of pages: 129