Ido Efrat

activity

20002020

collaborators

4 papers

math.NT2020

3-fold Massey products in Galois cohomology -- The non-prime case

Ido Efrat

For $m \geq 2$ , let $F$ be a field of characteristic prime to $m$ and containing the roots of unity of order $m$ , and let $G_{F}$ be its absolute Galois group. We show that the 3-fold…

math.NT2020

The $p$ -Zassenhaus Filtration of a Free Profinite Group and Shuffle Relations

Ido Efrat

For a prime number $p$ and a free profinite group $S$ on the basis $X$ , let $S_{(n, p)}$ , $n = 1, 2, \dots,$ be the $p$ -Zassenhaus filtration of $S$ . For $p > n$ , we give a word-combinat…

math.NT2018

The lower $p$ -central series of a free profinite group and the shuffle algebra

Ido Efrat

For a prime number $p$ and a free profinite group $S$ on the basis $X$ , let $S^{(n, p)}$ , $n = 1, 2, \dots$ be the lower $p$ -central filtration of $S$ . For $p > n$ , we give a combinatori…

math.NT2000

Invitation to higher local fields, Part II, section 7: Recovering higher global and local fields from Galois groups - an algebraic approach

Ido Efrat

A main problem in Galois theory is to characterize the fields with a given absolute Galois group. We apply a K-theoretic method for constructing valuations to study this problem in…

3-fold Massey products in Galois cohomology -- The non-prime case

The p-Zassenhaus Filtration of a Free Profinite Group and Shuffle Relations

The lower p-central series of a free profinite group and the shuffle algebra

Invitation to higher local fields, Part II, section 7: Recovering higher global and local fields from Galois groups - an algebraic approach

The $p$ -Zassenhaus Filtration of a Free Profinite Group and Shuffle Relations

The lower $p$ -central series of a free profinite group and the shuffle algebra