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Class field theory and Emil Artin

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Class field theory and Emil Artin

Class field theory vs. Emil Artin

In mathematics, class field theory is a major branch of algebraic number theory that studies abelian extensions of local fields (one-dimensional local fields) and "global fields" (one-dimensional global fields) such as number fields and function fields of curves over finite fields in terms of abelian topological groups associated to the fields. Emil Artin (March 3, 1898 – December 20, 1962) was an Austrian mathematician of Armenian descent.

Similarities between Class field theory and Emil Artin

Class field theory and Emil Artin have 9 things in common (in Unionpedia): Algebraic number theory, Bernard Dwork, David Hilbert, Galois group, Group cohomology, Helmut Hasse, John Tate, Mathematics, Philipp Furtwängler.

Algebraic number theory

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.

Algebraic number theory and Class field theory · Algebraic number theory and Emil Artin · See more »

Bernard Dwork

Bernard Morris Dwork (May 27, 1923 – May 9, 1998) was an American mathematician, known for his application of p-adic analysis to local zeta functions, and in particular for a proof of the first part of the Weil conjectures: the rationality of the zeta-function of a variety over a finite field.

Bernard Dwork and Class field theory · Bernard Dwork and Emil Artin · See more »

David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

Class field theory and David Hilbert · David Hilbert and Emil Artin · See more »

Galois group

In mathematics, more specifically in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated with the field extension.

Class field theory and Galois group · Emil Artin and Galois group · See more »

Group cohomology

In mathematics (more specifically, in homological algebra), group cohomology is a set of mathematical tools used to study groups using cohomology theory, a technique from algebraic topology.

Class field theory and Group cohomology · Emil Artin and Group cohomology · See more »

Helmut Hasse

Helmut Hasse (25 August 1898 – 26 December 1979) was a German mathematician working in algebraic number theory, known for fundamental contributions to class field theory, the application of p-adic numbers to local class field theory and diophantine geometry (Hasse principle), and to local zeta functions.

Class field theory and Helmut Hasse · Emil Artin and Helmut Hasse · See more »

John Tate

John Torrence Tate Jr. (born March 13, 1925) is an American mathematician, distinguished for many fundamental contributions in algebraic number theory, arithmetic geometry and related areas in algebraic geometry.

Class field theory and John Tate · Emil Artin and John Tate · See more »

Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

Class field theory and Mathematics · Emil Artin and Mathematics · See more »

Philipp Furtwängler

Friederich Pius Philipp Furtwängler (April 21, 1869 – May 19, 1940) was a German number theorist.

Class field theory and Philipp Furtwängler · Emil Artin and Philipp Furtwängler · See more »

The list above answers the following questions

Class field theory and Emil Artin Comparison

Class field theory has 68 relations, while Emil Artin has 136. As they have in common 9, the Jaccard index is 4.41% = 9 / (68 + 136).

References

This article shows the relationship between Class field theory and Emil Artin. To access each article from which the information was extracted, please visit:

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