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Finiteness Properties of Arithmetic Groups Acting on Twin Buildings. 2014 ed..
・ISBN 978-3-319-06476-5 paper EUR 34.99
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| 著者・編者 | Witzel, Stefan, |
|---|---|
| シリーズ | Lecture Notes in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2014 |
| ページ数 | 113 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-24472＞ |
解説
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.