activity
20002026
most citedThe Kummerian Property and Maximal Pro- Galois Groups

26 citations · 69 across the 24 of their papers we have counts for

collaborators

26 papers

math.NT2026

Higher Labute-Serre duality and Lyndon words

Ido Efrat, Levav Ferber Tas

Let be a free profinite group on a finite ordered basis , and let , denote its lower -central filtration. There is a natural duality between $S…

math.GR2026

Mild Pro- Groups and Ordered Monoids

Ido Efrat

We prove a criterion for the mildness of a finitely presented pro- group . It implies as a special case a cohomological mildness criterion via Massey products, generalizing r…

math.NT2025

The Elementary Type Conjecture for Maximal Pro-p Galois groups

Ido Efrat

The Elementary Type Conjecture in Galois theory provides a concrete inductive description of the finitely generated maximal pro- Galois groups of fields containing…

math.NT2025

Cofinality of Galois Cohomology within Purely Quadratic Graded Algebras

Tamar Bar-On, Ido Efrat

Let be a prime number. For a field containing a root of unity of order , let be the mod- Galois cohomology graded $\mathbb{F}…

math.NT2024

Linking Invariants for Valuations and Orderings on Fields

Ido Efrat

The mod-2 arithmetic Milnor invariants, introduced by Morishita, provide a decomposition law for primes in canonical Galois extensions of with unitriangular Galois gro…

math.NT2022★ 1 cited

The symbol length for elementary type pro- groups and Massey products

Ido Efrat

For a prime number and an integer , we prove that the symbol length of all elements of -fold Massey products in , for pro- groups of elem…