Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

SKU: 9783319064772

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Additional information

Full Title

Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
Author(s)

Stefan Witzel
Edition
ISBN

9783319064772, 9783319064765
Publisher

Springer
Format

PDF and EPUB

Description

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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