On Norm Residue Symbols and Conductors, by Romyar T. Sharifi

This paper has now appeared in the J. Number Theory 86 (2001), no. 2, 196--209, and so the preprint has been removed. Let K be a field unramified over Q_p. Let K_n be the cyclotomic extension of K by p^n-th roots of unity. Using standard properties of the norm residue symbol and a reciprocity law of Artin-Hasse, we determine the conductors of Kummer extensions of K_n obtained by adjoining p^n-th roots of elements of K.

Romyar T. Sharifi <sharifi@math.uchicago.edu>