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math.NT2010★ 2 cited
The Brauer-Kuroda formula for higher S-class numbers in dihedral extensions of number fields
Luca Caputo
Let p be an odd prime and let L/k be a Galois extension of number fields whose Galois group is isomorphic to the dihedral group of order 2p. Let S be a finite set of primes of L wh…
math.NT2010
Splitting in the K-theory localization sequence of number fields
Luca Caputo
Let p be a rational prime and let F be a number field. Then, for each i>0, there is a short exact localization sequence for K_{2i}(F). If p is odd or F is nonexceptional, we find n…