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 <email@example.com>