Galois Cohomology and Class Field Theory [[electronic resource] /] / by David Harari |
Autore | Harari David |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (xiv, 338 pages) |
Disciplina | 512.32 |
Collana | Universitext |
Soggetto topico |
Number theory
Number Theory |
ISBN | 3-030-43901-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Part I Group cohomology and Galois cohomology: generalities -- 1 Cohomology of finite groups -- 2 Cohomology of cyclic groups -- 3 p-groups, the Tate-Nakayama theorem -- 4 Cohomology of profinite groups -- 5 Cohomological dimension -- 6 First notions of Galois cohomology -- Part II Local fields -- 7 Basic facts about local fields -- 8 Brauer group of a local field -- 9 Local class field theory: the reciprocity law -- 10 The Tate local duality theorem -- 11 Local class field theory: Lubin-Tate theory -- Part III Global fields -- 12 Basic facts about global fields -- 13 Cohomology of the idèles -- 14 Reciprocity law -- 15 The abelianized absolute Galois group of a global field -- Part IV Duality theorems -- 16 Class formations -- 17 Poitou-Tate duality -- 18 Some applications -- Appendix -- A Some results from homological algebra -- B A survey of analytic methods -- References -- Index. |
Record Nr. | UNISA-996418191603316 |
Harari David | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Galois Cohomology and Class Field Theory / / by David Harari |
Autore | Harari David |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (xiv, 338 pages) |
Disciplina | 512.32 |
Collana | Universitext |
Soggetto topico |
Number theory
Number Theory |
ISBN | 3-030-43901-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Part I Group cohomology and Galois cohomology: generalities -- 1 Cohomology of finite groups -- 2 Cohomology of cyclic groups -- 3 p-groups, the Tate-Nakayama theorem -- 4 Cohomology of profinite groups -- 5 Cohomological dimension -- 6 First notions of Galois cohomology -- Part II Local fields -- 7 Basic facts about local fields -- 8 Brauer group of a local field -- 9 Local class field theory: the reciprocity law -- 10 The Tate local duality theorem -- 11 Local class field theory: Lubin-Tate theory -- Part III Global fields -- 12 Basic facts about global fields -- 13 Cohomology of the idèles -- 14 Reciprocity law -- 15 The abelianized absolute Galois group of a global field -- Part IV Duality theorems -- 16 Class formations -- 17 Poitou-Tate duality -- 18 Some applications -- Appendix -- A Some results from homological algebra -- B A survey of analytic methods -- References -- Index. |
Record Nr. | UNINA-9910484870203321 |
Harari David | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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