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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Autor Stefan Witzel
en Limba Engleză Paperback – 28 iul 2014
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.
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Specificații

ISBN-13: 9783319064765
ISBN-10: 3319064762
Pagini: 132
Ilustrații: XVI, 113 p. 11 illus.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.21 kg
Ediția:2014
Editura: Springer
Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Basic Definitions and Properties.- Finiteness Properties of G(Fq[t]).- Finiteness Properties of G(Fq[t; t-1]).- Affine Kac-Moody Groups.- Adding Places.

Textul de pe ultima copertă

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.

Caracteristici

Only reference for the secondary height function for reducible buildings Self-contained introduction to the study of finiteness properties of arithmetic groups Many illustrations