conductor

A conductor is a modulus (in the sense of number theory) associated to an abelian extension of number fields and reflects its ramification data. It has been 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.

- wikipedia conductor (class field theory), conductor-discriminant formula
- Serge Lang,
*Algebraic number theory*, GTM 110, Springer 1970, 2000

Created on July 27, 2011 at 18:00:35. See the history of this page for a list of all contributions to it.