Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

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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 ...

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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 ...

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  • Formats: pdf
  • ISBN: 9783319064772
  • Publication Date: 16 Jul 2014
  • Publisher: Springer International Publishing
  • Product language: English
  • Drm Setting: DRM