E-Book, Englisch, Band 2109, 113 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Witzel Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
Erscheinungsjahr 2014
ISBN: 978-3-319-06477-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 2109, 113 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-319-06477-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
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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Research
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Weitere Infos & Material
Basic Definitions and Properties.- Finiteness Properties of G(Fq[t]).- Finiteness Properties of G(Fq[t; t-1]).- Affine Kac-Moody Groups.- Adding Places.