Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups
The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of thi...
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| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Σειρά: | Lecture notes in mathematics
1261 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Finite presentability of S-arithmetic groups, compact presentability of solvable groups, Herbert Abels, 1987, Berlin, Springer-Verlag, 1 volume (VI-178 pages), Lecture notes in mathematics, 0-387-17975-5 • Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups, Texte imprimé, 9783662181232 |
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| 100 | 1 | |a Abels, Herbert, |d 1941- | |
| 245 | 1 | 0 | |a Finite Presentability of S-Arithmetic Groups Compact Presentability of Solvable Groups |c Herbert Abels. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1261 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Compact presentability and contracting automorphisms -- Filtrations of Lie algebras and groups -- A necessary condition for compact presentability -- Implications of the necessary condition -- The second homology -- S-arithmetic groups -- S-arithmetic solvable groups. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. Most of this monograph deals with this question. The necessary background material and the general framework in which the problem arises are given partly in a detailed account, partly in survey form. In the last two chapters the application to S-arithmetic groups is given: here the reader is assumed to have some background in algebraic and arithmetic group. The book will be of interest to readers working on infinite groups, topological groups, and algebraic and arithmetic groups. | ||
| 650 | |a Lie, Groupes de | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Groupes algébriques linéaires | ||
| 650 | |a Groupes arithmétiques | ||
| 650 | |a Groupes topologiques | ||
| 776 | 0 | |0 020303432 |t Finite presentability of S-arithmetic groups, compact presentability of solvable groups |f Herbert Abels |d 1987 |c Berlin |n Springer-Verlag |p 1 volume (VI-178 pages) |s Lecture notes in mathematics |z 0-387-17975-5 | |
| 776 | 0 | |t Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups |b Texte imprimé |z 9783662181232 | |
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