Galois Cohomology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1997
|
| Series: | Springer Monographs in Mathematics
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This volume is an English translation of "Cohomologie Galoisienne" . The original edition (Springer LN5, 1964) was based on the notes, written with the help of Michel Raynaud, of a course I gave at the College de France in 1962-1963. In the present edition there are numerous additions and one suppression: Verdier's text on the duality of profinite groups. The most important addition is the photographic reproduction of R. Steinberg's "Regular elements of semisimple algebraic groups", Publ. Math. LH.E.S., 1965. I am very grateful to him, and to LH.E.S., for having authorized this reproduction. Other additions include: - A proof of the Golod-Shafarevich inequality (Chap. I, App. 2). - The "resume de cours" of my 1991-1992 lectures at the College de France on Galois cohomology of k(T) (Chap. II, App.). - The "resume de cours" of my 1990-1991 lectures at the College de France on Galois cohomology of semisimple groups, and its relation with abelian cohomology, especially in dimension 3 (Chap. III, App. 2). The bibliography has been extended, open questions have been updated (as far as possible) and several exercises have been added. In order to facilitate references, the numbering of propositions, lemmas and theorems has been kept as in the original 1964 text. Jean-Pierre Serre Harvard, Fall 1996 Table of Contents Foreword ........................................................ V Chapter I. Cohomology of profinite groups §1. Profinite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 . . . . . . . . . . . . . |
| Physical Description: | 1 Online-Ressource (X, 211 p) |
| ISBN: | 9783642591419 9783642638664 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-642-59141-9 |
Staff View
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Record in the Search Index
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| discipline | Mathematik |
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| indexdate | 2024-07-10T01:21:11Z |
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| isbn | 9783642591419 9783642638664 |
| issn | 1439-7382 |
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| spelling | Serre, Jean-Pierre Verfasser aut Galois Cohomology by Jean-Pierre Serre Berlin, Heidelberg Springer Berlin Heidelberg 1997 1 Online-Ressource (X, 211 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 This volume is an English translation of "Cohomologie Galoisienne" . The original edition (Springer LN5, 1964) was based on the notes, written with the help of Michel Raynaud, of a course I gave at the College de France in 1962-1963. In the present edition there are numerous additions and one suppression: Verdier's text on the duality of profinite groups. The most important addition is the photographic reproduction of R. Steinberg's "Regular elements of semisimple algebraic groups", Publ. Math. LH.E.S., 1965. I am very grateful to him, and to LH.E.S., for having authorized this reproduction. Other additions include: - A proof of the Golod-Shafarevich inequality (Chap. I, App. 2). - The "resume de cours" of my 1991-1992 lectures at the College de France on Galois cohomology of k(T) (Chap. II, App.). - The "resume de cours" of my 1990-1991 lectures at the College de France on Galois cohomology of semisimple groups, and its relation with abelian cohomology, especially in dimension 3 (Chap. III, App. 2). The bibliography has been extended, open questions have been updated (as far as possible) and several exercises have been added. In order to facilitate references, the numbering of propositions, lemmas and theorems has been kept as in the original 1964 text. Jean-Pierre Serre Harvard, Fall 1996 Table of Contents Foreword ........................................................ V Chapter I. Cohomology of profinite groups §1. Profinite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 . . . . . . . . . . . . . Mathematics Algebra Number theory Number Theory Mathematik Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Galois-Kohomologie (DE-588)4019172-2 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Galois-Gruppe (DE-588)4155897-2 gnd rswk-swf Kohomologie (DE-588)4031700-6 s Galois-Gruppe (DE-588)4155897-2 s 1\p DE-604 Galois-Kohomologie (DE-588)4019172-2 s 2\p DE-604 Endliche Gruppe (DE-588)4014651-0 s 3\p DE-604 Zahlentheorie (DE-588)4067277-3 s 4\p DE-604 Algebraische Zahlentheorie (DE-588)4001170-7 s 5\p DE-604 Galois-Theorie (DE-588)4155901-0 s 6\p DE-604 https://doi.org/10.1007/978-3-642-59141-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Serre, Jean-Pierre Galois Cohomology Mathematics Algebra Number theory Number Theory Mathematik Endliche Gruppe (DE-588)4014651-0 gnd Kohomologie (DE-588)4031700-6 gnd Galois-Kohomologie (DE-588)4019172-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd Galois-Theorie (DE-588)4155901-0 gnd Galois-Gruppe (DE-588)4155897-2 gnd |
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| title | Galois Cohomology |
| title_auth | Galois Cohomology |
| title_exact_search | Galois Cohomology |
| title_full | Galois Cohomology by Jean-Pierre Serre |
| title_fullStr | Galois Cohomology by Jean-Pierre Serre |
| title_full_unstemmed | Galois Cohomology by Jean-Pierre Serre |
| title_short | Galois Cohomology |
| title_sort | galois cohomology |
| topic | Mathematics Algebra Number theory Number Theory Mathematik Endliche Gruppe (DE-588)4014651-0 gnd Kohomologie (DE-588)4031700-6 gnd Galois-Kohomologie (DE-588)4019172-2 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Zahlentheorie (DE-588)4067277-3 gnd Galois-Theorie (DE-588)4155901-0 gnd Galois-Gruppe (DE-588)4155897-2 gnd |
| topic_facet | Mathematics Algebra Number theory Number Theory Mathematik Endliche Gruppe Kohomologie Galois-Kohomologie Algebraische Zahlentheorie Zahlentheorie Galois-Theorie Galois-Gruppe |
| url | https://doi.org/10.1007/978-3-642-59141-9 |
| work_keys_str_mv | AT serrejeanpierre galoiscohomology |