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The Brauer–Kuroda formula for higher S-class numbers in dihedral extensions of number fields

The Brauer–Kuroda formula for higher S-class numbers in dihedral extensions of number fields

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 which is stable under the action of Gal(L/k). The Lichtenbaum conjecture on …