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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