nLab conductor

Contents

Context

Algebra

Arithmetic

Contents

Idea

In algebraic number theory, a conductor is a modulus (in the sense of number theory) associated to an abelian extension of number fields and reflects its ramification data.

References

The notion was introduced in the work of Weber at the end of 19th century. It is one of the central notions in class field theory. A later version is due Emil Artin.

See also:

Last revised on March 12, 2024 at 09:31:38. See the history of this page for a list of all contributions to it.