Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Finiteness properties of arithmetic groups acting on twin buildings / Stefan Witzel.

By: Material type: TextTextSeries: Lecture notes in mathematics ; 2109.Publication details: New York : Springer, 2014.Description: xvi, 113 p. ; illISBN:
  • 9783319064765
Subject(s): DDC classification:
  • 512.2 23 W833
Contents:
1. Basic Definitions and Properties -- 2. Finiteness Properties of G(Fq[t]) -- 3. Finiteness Properties of G(Fq[t; t-1]) -- A Adding places-- References-- Index of symbols-- Index.
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.
Tags from this library: No tags from this library for this title. Log in to add tags.

Includes bibliographical references and index.

1. Basic Definitions and Properties --
2. Finiteness Properties of G(Fq[t]) --
3. Finiteness Properties of G(Fq[t; t-1]) --
A Adding places--
References--
Index of symbols--
Index.

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in