Finiteness properties of arithmetic groups acting on twin buildings
Author(s)
Bibliographic Information
Finiteness properties of arithmetic groups acting on twin buildings
（Lecture notes in mathematics, 2109）
Springer, c2014
Available at / 43 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||2109200029525505
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Note
Includes bibliographical references (p. 101-105) and index
Description and Table of Contents
Description
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.
Table of Contents
- Basic Definitions and Properties.- Finiteness Properties of G(Fq[t]).- Finiteness Properties of G(Fq[t
- t-1]).- Affine Kac-Moody Groups.- Adding Places.
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