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Oct 31, 2009 at 16:59 comment added Rob Harron The notion of conductor you are talking about is unrelated. It simply measures how far away a ring is from its integral closure. Since the ring of integers is by definition integrally closed, its conductor (in this sense) is the unit ideal. (This conductor tells you where you can't easily determine the decomposition of a prime.) The conductor I'm talking about is defined on page 525 of Neukirch.
Oct 31, 2009 at 16:46 history answered David Zureick-Brown CC BY-SA 2.5