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

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NT2020★ 2 cited

Weber's class number problem and $p$ -rationality in the cyclotomic $Z$ -extension of $Q$

Georges Gras

Let $K$ be the $N$ th layer in the cyclotomic $Z$ -extension $Q$ . Many authors (Aoki, Fukuda, Horie, Ichimura, Inatomi, Komatsu, Miller, Morisaw…

math.NT2020★ 1 cited

Algorithmic complexity of Greenberg's conjecture

Georges Gras

Let $k$ be a totally real number field and $p$ a prime. We show that the ``complexity'' of Greenberg's conjecture ( $λ = μ = 0$ ) is of $p$ -adic nature governed (under Leopoldt's conje…

math.NT2020

The p-rank $ε$ -conjecture on class groups is true for towers of p-extensions

Georges Gras

Let p $\geq$ 2 be a given prime number. We prove, for any number field kappa and any integer e $\geq$ 1, the p-rank $ε$ -conjecture, on the p-class groups Cl\_F, for the family F\_kappa^p…

Weber's class number problem and p-rationality in the cyclotomic Z-extension of Q

Algorithmic complexity of Greenberg's conjecture

The p-rank ε-conjecture on class groups is true for towers of p-extensions

Weber's class number problem and $p$ -rationality in the cyclotomic $Z$ -extension of $Q$

The p-rank $ε$ -conjecture on class groups is true for towers of p-extensions