Finiteness properties of arithmetic groups acting on twin buildings /

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Bibliographic Details
Author / Creator:Witzel, Stefan, author.
Imprint:Cham [Switzerland] : Springer, [2014]
Description:1 online resource (xvi, 113 pages) : illustrations.
Series:Lecture notes in mathematics, 1617-9692 ; 2109
Lecture notes in mathematics (Springer-Verlag) ; 2109.
Subject:Buildings (Group theory)
Finite geometries.
Buildings (Group theory)
Finite geometries.
Electronic books.
Format: E-Resource Book
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Digital file characteristics:text file PDF
Notes:Includes bibliographical references (pages 101-105) and index.
Online resource; title from PDF title page (SpringerLink, viewed Jul. 21, 2014).
Summary: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.
Other form:Printed edition: 9783319064765
Standard no.:10.1007/978-3-319-06477-2