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Class field theory: the Bonn lectures

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Bibliographic Details
Main Author:	Neukirch, Jürgen 1937-1997 (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2013
Edition:	[2. ed.]
Subjects:	Klassenkörper Algebraische Zahlentheorie Klassenkörpertheorie Hochschulschrift
Online Access:	Inhaltstext Inhaltsverzeichnis
Physical Description:	X, 184 S. graph. Darst.
ISBN:	364235436X 9783642354366

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MARC


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adam_text	CONTENTS PART I: COHOMOLOGY OF FINITE GROUPS 1 §1. G-MODULES 3 §2. THE DEFINITION OF COHOMOLOGY GROUPS 11 §3. THE EXACT COHOMOLOGY SEQUENCE 20 §4. INFLATION, RESTRICTION AND CORESTRICTION 32 § 5. THE CUP PRODUCT 44 § 6. COHOMOLOGY OF CYCLIC GROUPS 51 § 7. TATE'S THEOREM 57 PART II: LOCAL CLASS FIELD THEORY 61 §1. ABSTRACT CLASS FIELD THEORY 63 §2. GALOIS COHOMOLOGY 77 §3. THE MULTIPLICATIVE GROUP OF A P-ADIC NUMBER FIELD 79 §4. THE CLASS FORMATION OF UNRAMIFIED EXTENSIONS 82 §5. THE LOCAL RECIPROCITY LAW 89 § 6. THE EXISTENCE THEOREM 95 § 7. EXPLICIT DETERMINATION OF THE NORM RESIDUE SYMBOL 98 PART III: GLOBAL CLASS FIELD THEORY ILL § 1. NUMBER THEORETIC PRELIMINARIES 113 §2. IDELES AND IDELE CLASSES 117 §3. COHOMOLOGY OF THE IDELE GROUP 122 §4. COHOMOLOGY OF THE IDELE CLASS GROUP 128 §5. IDELE INVARIANTS 138 §6. THE RECIPROCITY LAW 146 §7. THE EXISTENCE THEOREM 156 § 8. THE DECOMPOSITION LAW 168 § 9. THE IDEAL THEORETIC FORMULATION OF CLASS FIELD THEORY 173 REFERENCES 181 INDEX 183 HTTP://D-NB.INFO/102763379X
any_adam_object	1
author	Neukirch, Jürgen 1937-1997
author_GND	(DE-588)117716839
author_facet	Neukirch, Jürgen 1937-1997
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author_sort	Neukirch, Jürgen 1937-1997
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ctrlnum	(OCoLC)844106894 (DE-599)DNB102763379X
dewey-full	512.74
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512.74
dewey-search	512.74
dewey-sort	3512.74
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	[2. ed.]
format	Book
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isbn	364235436X 9783642354366
language	English
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spelling	Neukirch, Jürgen 1937-1997 Verfasser (DE-588)117716839 aut Klassenkörpertheorie Class field theory the Bonn lectures Jürgen Neukirch [2. ed.] Berlin [u.a.] Springer 2013 X, 184 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Klassenkörper (DE-588)4164021-4 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Klassenkörpertheorie (DE-588)4030951-4 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Klassenkörpertheorie (DE-588)4030951-4 s DE-604 Algebraische Zahlentheorie (DE-588)4001170-7 s 2\p DE-604 Klassenkörper (DE-588)4164021-4 s 3\p DE-604 Erscheint auch als Online-Ausgabe 978-3-642-35437-3 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4175108&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025972572&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 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
spellingShingle	Neukirch, Jürgen 1937-1997 Class field theory the Bonn lectures Klassenkörper (DE-588)4164021-4 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Klassenkörpertheorie (DE-588)4030951-4 gnd
subject_GND	(DE-588)4164021-4 (DE-588)4001170-7 (DE-588)4030951-4 (DE-588)4113937-9
title	Class field theory the Bonn lectures
title_alt	Klassenkörpertheorie
title_auth	Class field theory the Bonn lectures
title_exact_search	Class field theory the Bonn lectures
title_full	Class field theory the Bonn lectures Jürgen Neukirch
title_fullStr	Class field theory the Bonn lectures Jürgen Neukirch
title_full_unstemmed	Class field theory the Bonn lectures Jürgen Neukirch
title_short	Class field theory
title_sort	class field theory the bonn lectures
title_sub	the Bonn lectures
topic	Klassenkörper (DE-588)4164021-4 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd Klassenkörpertheorie (DE-588)4030951-4 gnd
topic_facet	Klassenkörper Algebraische Zahlentheorie Klassenkörpertheorie Hochschulschrift
url	http://deposit.dnb.de/cgi-bin/dokserv?id=4175108&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025972572&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT neukirchjurgen klassenkorpertheorie AT neukirchjurgen classfieldtheorythebonnlectures

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