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 2019Show all

4 papers · 1 filter

math.NT2019

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 $(D)^{ε}$ , where $D$ …

math.NT2019

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 $L := Q (N^{1/ p})$ and $M := Q (N^{1/ p}, μ_{p})$ , by comparison with…

math.NT2019★ 7 cited

Practice of incomplete p-ramification over a number field -- History of abelian p-ramification

Georges Gras

The theory of p-ramification, regarding the Galois group of the maximal pro-p-extension of a number field K, unramified outside p and $\infty$ , is well known including numerical ex…

math.NT2019★ 5 cited

Genus theory and $ε$ -conjectures on p-class groups

Georges Gras

We suspect that the ``genus part'' of the class number of a number field K may be an obstruction for an ``easy proof'' of the classical p-rank epsilon-conjecture for p-class groups…

Successive maxima of the non-genus part of class numbers

Note on some p-invariants of Q(N^{1/p}) using reflection theorem

Practice of incomplete p-ramification over a number field -- History of abelian p-ramification

Genus theory and ε-conjectures on p-class groups

Genus theory and $ε$ -conjectures on p-class groups