Bibframe Work

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.

Authorized Access Point

Witzel, Stefan Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Admin Metadata

Generation Process: DLC marc2bibframe2 v2.5.0

Status: changed

Encoding Level: preliminary

Description Conventions: ISBD: International standard bibliographic descriptionProvider-neutral e-resource MARC record guidelinesResource description and access

Identified By: bf:Local, 21663249

Change Date: 2020-09-28T16:39:20

Creation Date: 2014-07-16

Description Language: English

Assigner: United States, Library of Congress

Bibframe Work

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