Finiteness Properties Of Arithmetic Groups Acting On Twin Buildings

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    Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
    By: Stefan Witzel
    Publisher:
    Springer
    Print ISBN: 9783319064765, 3319064762
    eText ISBN: 9783319064772, 3319064770
    Copyright year: 2014
    Format: EPUB
    Available from $ 49.99 USD
    SKU 9783319064772
    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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