25 citations · 109 across the 31 of their papers we have counts for
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math.NT2015★ 1 cited
No Riemann-hurwitz formula for the p-ranks of relative class groups
Georges Gras
We disprove, by means of numerical examples, the existence of a Riemann-Hurwitz formula for the p-ranks of relative class groups in a p-ramified p-extension K/k of number fields of…
math.NT2015★ 2 cited
On the order modulo p of an algebraic number (for p large enough)
Georges Gras
Let K/Q be Galois, and let eta in K* whose conjugates are multiplicatively independent. For a prime p, unramified, prime to eta, let np be the residue degree of p and gp the number…
math.NT2015★ 1 cited
On the Bertrandias-Payan module in a p-extension -- capitulation kernel
Georges Gras
For a number field K and a prime number p we denote by BP\_K the compositum of the cyclic p-extensions of K embeddable in a cyclic p-extension of arbitrary large degree. Then BP\_K…