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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3 papers · 1 filter

math.NT2023

Exceptional case of the non semi-simple Real Abelian Main Conjecture

Georges Gras

In the papers: "The Chevalley--Herbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group),J. Number Theory 248 (2023)" and "On the…

math.NT2023

On the Real Abelian Main Conjecture in the non semi-simple case

Georges Gras

Let $K / Q$ be a real cyclic extension of degree divisible by $p$ . We analyze the {\it statement} of the "Real Abelian Main Conjecture", for the $p$ -class group $\mathcal{H}…

math.NT2023

New characterization of the norm of the fundamental unit of $Q (M)$

Georges Gras

We give an elementary criterion for the norm of the fundamental unit $ε_{K}$ of $K = Q (M)$ , $M$ square-free. More precisely, if $ε_{K} = a + b M$ , $…

Exceptional case of the non semi-simple Real Abelian Main Conjecture

On the Real Abelian Main Conjecture in the non semi-simple case

New characterization of the norm of the fundamental unit of Q(M​)

New characterization of the norm of the fundamental unit of $Q (M)$