Georges Gras

activity

20082026

most citedInvariant generalized ideal classes -- structure theorems for p-class groups in p-extensions

25 citations · 109 across the 31 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022★ 2 cited

Algebraic norm and capitulation of p-class groups in ramified cyclic p-extensions

Georges Gras

We examine the phenomenon of capitulation of the $p$ -class group $H_{K}$ of a real number field $K$ in totally ramified cyclic p-extensions $L / K$ of degree $p^{N}$ . Using an elementary…

math.NT2022★ 3 cited

The Chevalley-Herbrand formula and the real abelian Main Conjecture

Georges Gras

The Main Theorem for abelian fields (often called Main Conjecture despite proofs in most cases) has a long history which has found a solution by means of "elementary arithmetic", a…

math.NT2022

Unlimited lists of fundamental units of quadratic fields -- Applications to some arithmetic properties

Georges Gras

We use the polynomials $m_{s} (t) = t^{2} - 4 s$ , $s \in {- 1, 1}$ , in an elementary process giving arbitrary large lists of {\it fundamental units} of quadratic fields of discriminant…