Finiteness Properties of Arithmetic Groups Acting on Twin Buildings / / by Stefan Witzel
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| Autore: |
Witzel Stefan
|
| Titolo: |
Finiteness Properties of Arithmetic Groups Acting on Twin Buildings / / by Stefan Witzel
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Edizione: | 1st ed. 2014. |
| Descrizione fisica: | 1 online resource (XVI, 113 p. 11 illus.) |
| Disciplina: | 512.2 |
| Soggetto topico: | Group theory |
| Geometry | |
| Manifolds (Mathematics) | |
| Complex manifolds | |
| Algebraic topology | |
| Group Theory and Generalizations | |
| Manifolds and Cell Complexes (incl. Diff.Topology) | |
| Algebraic Topology | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | Basic Definitions and Properties -- Finiteness Properties of G(Fq[t]) -- Finiteness Properties of G(Fq[t; t-1]) -- Affine Kac-Moody Groups -- Adding Places. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Finiteness properties of arithmetic groups acting on twin buildings |
| ISBN: | 3-319-06477-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300148203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 2109