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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

Stefan Witzel
Format
Book
Published
Cham [Switzerland] : Springer, [2014]
Language
English
Series
Lecture Notes in Mathematics
Lecture Notes in Mathematics (Springer-Verlag)
ISBN
3319064762, 9783319064765
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."--Page 4 of cover.
Contents
  • Basic definitions and properties
  • Finiteness properties of G(Fq[t])
  • Finiteness properties of G(Fq[t, t-1])
  • Adding places.
Description
xvi, 113 pages : illustrations ; 24 cm.
Notes
Includes bibliographical references (pages 101-105) and index.
Series Statement
Lecture notes in mathematics, 0075-8434 ; 2109
Lecture notes in mathematics (Springer-Verlag) ; 2109
Technical Details
  • Access in Virgo Classic
  • Staff View

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