Finiteness Properties of Arithmetic Groups Acting on Twin Buildings
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 invol...
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| المؤلف الرئيسي: | |
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| مؤلف مشترك: | |
| التنسيق: | الكتروني كتاب الكتروني |
| اللغة: | English |
| منشور في: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| الطبعة: | 1st ed. 2014. |
| سلاسل: | Lecture Notes in Mathematics,
2109 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1007/978-3-319-06477-2 |
| الوسوم: |
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| الملخص: | 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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| وصف مادي: | XVI, 113 p. 11 illus. online resource. |
| ردمك: | 9783319064772 |
| تدمد: | 0075-8434 ; |