Kronecker - Weber via Stickelberger par Franz LEMMERMEYER

de Théorie des Nombres de Bordeaux 17 ( 2005 ) , 579 – 582

In this note we give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger’s theorem.

Franz Lemmermeyer Error - correcting Codes

Lemmermeyer Algebraic Number Theory

History of Class Field Theory

Class field theory is the description of abelian extensions of global fields and local fields. The label “class field” refers to a field extension satisfying a technical property that is historically related to ideal class groups, and one of the main theorems is that class fields are the same as abelian extensions. Three themes in number theory at the end of the 19th century led to class field ...

Elementary Number Theory