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Abelian extension
THE INTERSECTION of NORM GROUPS(I) by JAMES AX
The Kronecker-Weber Theorem
The Kronecker-Weber Theorem
ON R-EXTENSIONS of ALGEBRAIC NUMBER FIELDS Let P Be a Prime
20 the Kronecker-Weber Theorem
RECENT THOUGHTS on ABELIAN POINTS 1. Introduction While At
The Twelfth Problem of Hilbert Reminds Us, Although the Reminder Should
The Kronecker-Weber Theorem
L-Functions and Non-Abelian Class Field Theory, from Artin to Langlands
Math 676. Homework 11 1. Let K Be a Field and Let K S Be a Separable
Section 14.5. Today We Will Once Again Discuss Cyclotomic Fields And
Galois Theory at Work: Concrete Examples
Brumer–Stark Units and Hilbert's 12Th Problem
Cody Holdaway
GROUP and GALOIS COHOMOLOGY Romyar Sharifi
Algebraic Number Theory Notes
A Brief Guide to Algebraic Number Theory
FIELD THEORY Contents 1. Algebraic Extensions 1 1.1. Finite And
Top View
Galois Cohomology Summary
Third Group Cohomology and Gerbes Over Lie Groups
On the History of Hilbert's Twelfth Problem
Abelian Extensions of Global Fields with Constant Local Degree
Artin Reciprocity and Mersenne Primes H.W
An Overview of Class Field Theory
INTRODUCTION to CLASS FIELD THEORY Contents 1. Theorems Of
Unit Groups of Infinite Abelian Extensions
Algebraic Number Theory
GALOIS THEORY at WORK 1. Examples Example
GALOIS COHOMOLOGY Lawrence C. Washington in These Lectures, We
1 Group Cohomology 1.1 Definitions Let G Be a Group
Algebraic Number Theory
On Z P -Extensions of Real Abelian Number Fields
Uniform Symbolic Topologies in Abelian Extensions 1
History of Class Field Theory
24 Artin Reciprocity in the Unramified Case
Galois Group of the Maximal Abelian Extension Over an Algebraic Number Field
Reciprocity Laws: Artin-Hilbert
Abelian Kummer Theory
Z/N1z) × · · · × (Z/Nkz)
History of Class Field Theory
A Brief Summary of the Statements of Class Field Theory
20 the Kronecker-Weber Theorem
Stark's Conjectures and Hilbert's Twelfth Problem
Class Field Theory for Number Fields and Complex Multiplication
On the Field Extension by Complex Multiplication
LECTURES on ALGEBRAIC NUMBER THEORY Yichao TIAN Morningside Center of Mathematics, 55 Zhong Guan Cun East Road, Beijing, 100190, China
Abelian Extensions of Complete Discrete Valuation Fields
18.785: Algebraic Number Theory (Lecture Notes)
Notes for Algebraic Number Theory Instructor: Chao Li
Groups of Special Units Amanda Beeson
More Notes on Galois Theory
Some Algebraic Number Theory and the Reciprocity Map
ALGEBRAIC NUMBER THEORY Romyar Sharifi
Stark's Conjectures and Hilbert's Twelfth
HISTORY of CLASS FIELD THEORY 11 Theory, So Takagi Had No Local Colleagues Who Could Check His Work
The Hasse Norm Principle for Abelian Extensions 3