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math.NT2018
Class number formula for dihedral extensions
Luca Caputo, Filippo A. E. Nuccio
We give an algebraic proof of a class number formula for dihedral extensions of number fields of degree , where is any odd integer. Our formula expresses the ratio of class…
math.NT2013
On the splitting of the exact sequence relating the wild and tame kernels
Luca Caputo, Abbas Movahhedi
Let k be a number field. For an odd prime p and an integer i>1, the i-th étale wild kernel is contained in the second cohomology group of o'_k with coefficients in Zp(i), where o'_…