25 citations · 25 across the 5 of their papers we have counts for
5 papers · 1 filter
Invariant generalized ideal classes -- structure theorems for p-class groups in p-extensions
Georges Gras
We give, in Sections 2 and 3, an english translation of: {\it Classes généralisées invariantes}, J. Math. Soc. Japan, 46, 3 (1994), with some improvements and with notations and de…
Successive maxima of the non-genus part of class numbers
Georges Gras
Some PARI programs have bringed out a property for the non-genus part of the class number of the imaginary quadratic fields, with respect to , where …
Note on some p-invariants of Q(N^{1/p}) using reflection theorem
Georges Gras
Let p > 2 be a prime number and let N be any rational integer. We consider the p-class groups Cl(L), Cl(M) of the fields and , by comparison with…
Some works of Furtwängler and Vandiver revisited and Fermat's last theorem
Georges Gras, Roland Quême
From some works of P. Furtwängler and H.S. Vandiver, we put the basis of a new cyclotomic approach to Fermat's last theorem for p>3 and to a stronger version called SFLT, by introd…
Analysis of the classical cyclotomic approach to fermat's last theorem
Georges Gras
We give again the proof of several classical results concerning the cyclotomic approach to Fermat's last theorem using exclusively class field theory (essentially the reflection th…