On properties of the n-dimensional norm residue symbol in higher local class field theory

Journal of Pure and Applied Algebra ◽

10.1016/0022-4049(95)00161-1 ◽

1996 ◽

Vol 108 (1) ◽

pp. 1-6 ◽

Author(s):

Robert A. Bell

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Residue Symbol ◽

Norm Residue ◽

Local Class Field Theory

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Developments in the theory of algebras over number fields: A new foundation for the Hasse norm residue symbol and new approaches to both the Artin reciprocity law and class field theory

History of Mathematics - Episodes in the History of Modern Algebra (1800–1950) ◽

10.1090/hmath/032/07 ◽

2011 ◽

pp. 117-151

Keyword(s):

Field Theory ◽

Number Fields ◽

Class Field Theory ◽

Class Field ◽

Residue Symbol ◽

New Approaches ◽

Reciprocity Law ◽

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How Hasse was led to the Theory of Quadratic Forms, the Local-Global Principle, the Theory of the Norm Residue Symbol, the Reciprocity Laws, and to Class Field Theory

Class Field Theory – Its Centenary and Prospect ◽

10.2969/aspm/03010031 ◽

2018 ◽

Author(s):

Günther Frei

Keyword(s):

Field Theory ◽

Quadratic Forms ◽

Class Field Theory ◽

Class Field ◽

Residue Symbol ◽

Reciprocity Laws ◽

Norm Residue ◽

Global Principle

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A Gentle Course in Local Class Field Theory

10.1017/9781108377751 ◽

2018 ◽

Author(s):

Pierre Guillot

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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Class Formations and Higher Dimensional Local Class Field Theory

Journal of Number Theory ◽

10.1006/jnth.1997.2048 ◽

1997 ◽

Vol 62 (2) ◽

pp. 273-283 ◽

Author(s):

Michael Spiess

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Higher Dimensional ◽

Local Class Field Theory

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Preparations for local class field theory

Algebraic Numbers and Algebraic Functions ◽

10.1090/chel/358/06 ◽

2006 ◽

pp. 103-126

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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The Structure of Local Class Field Theory

American Journal of Mathematics ◽

10.2307/2371544 ◽

1938 ◽

Vol 60 (1) ◽

pp. 75 ◽

Author(s):

O. F. G. Schilling

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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Local Class Field Theory

Grundlehren der mathematischen Wissenschaften - Class Field Theory ◽

10.1007/978-3-642-82465-4_3 ◽

1986 ◽

pp. 37-71

Author(s):

Jürgen Neukirch

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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The Generality of Local Class Field Theory (Generalized Local Class Field Theory V)

Proceedings of the American Mathematical Society ◽

10.2307/2032827 ◽

1957 ◽

Vol 8 (1) ◽

pp. 137

Author(s):

G. Whaples

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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Nilpotent local class field theory

Acta Arithmetica ◽

10.4064/aa-83-1-45-64 ◽

1998 ◽

Vol 83 (1) ◽

pp. 45-64 ◽

Author(s):

Helmut Koch ◽

Susanne Kukkuk ◽

John Labute

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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On local class field theory*

Journal of the Mathematical Society of Japan ◽

10.2969/jmsj/01330234 ◽

1961 ◽

Vol 13 (3) ◽

pp. 234-245 ◽

Author(s):

O. F. G. SCHILLING

Keyword(s):

Field Theory ◽

Class Field Theory ◽

Class Field ◽

Local Class Field Theory

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