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Record Nr. |
UNISALENTO991003263299707536 |
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Autore |
Witzel, Stefan |
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Titolo |
Finiteness properties of arithmetic groups acting on twin buildings / Stefan Witzel |
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Pubbl/distr/stampa |
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Cham [Switzerland] : Springer, c2014 |
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ISBN |
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Descrizione fisica |
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xvi, 113 p. : ill. ; 24 cm |
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Collana |
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Lecture notes in mathematics, 0075-8434 ; 2109 |
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Classificazione |
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AMS 20E42 |
AMS 20G30 |
AMS 57Qxx |
LC QA3.L38 |
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Disciplina |
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Soggetti |
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Buildings (Group theory) |
Finite geometries |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references (pages 101-105) and index |
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Nota di contenuto |
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Basic definitions and properties ; Finiteness properties of G(Fq[t]) ; Finiteness properties of G(Fq[t, t-1]) ; Adding places |
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Sommario/riassunto |
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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 has only two places, one can instead make use of the theory of twin buildings."--Page 4 of cover |
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