Courses / Activities

Hilbert genus field and Tame kernel of biquadratic field

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Qin Yue

2009-05-21
16:00:00 - 16:50:00

Hilbert genus field and Tame kernel of biquadratic field

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let D be a subset of a number field F such that normalized valuations of its elements at all primes are even. In this talk, we will compute the order of D; for a biquadratic field F, we use the set D to construct the Hilbert genus field of F and elements of order 2 and 4 of the tame kernel of F.