Class number problem on restricted ramfied Z_p extensions of the Gaussian number field.

Date

2015/05/22 Fri 13:30 - 14:30

Room

3号館152号室

Speaker

Morisawa, Takayuki

Affiliation

Tokyo University of Science

Abstract

Let p be a prime number which is congruent to 1 modulo 4. If P is a prime ideal over p of Z[i], there exists a unique Z_p extension of Q(i) which ramifies over P. We discuss results of the joint work with J. Lamplugh regarding class numbers of intermediate extensions of this Z_p extension.