49 Citations
Triple Massey products and Galois theory
- Mathematics
- 2013
We show that any triple Massey product with respect to prime 2 contains 0 whenever it is defined over any field. This extends the theorem of M. J. Hopkins and K. G. Wickelgren, from global fields to…
Extensions of unipotent groups, Massey products and Galois theory
- MathematicsAdvances in Mathematics
- 2019
Four-fold Massey products in Galois cohomology
- MathematicsCompositio Mathematica
- 2018
In this paper, we develop a new necessary and sufficient condition for the vanishing of $4$ -Massey products of elements in the modulo- $2$ Galois cohomology of a field. This new description allows…
N T ] 2 4 A pr 2 02 0 Generalized Bockstein maps and Massey products
- Mathematics
- 2020
Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N , we study the filtration on the cohomology of N by powers of the augmentation…
Generalized Bockstein maps and Massey products
- Mathematics
- 2020
Given a profinite group G of finite p-cohomological dimension and a pro-p quotient H of G by a closed normal subgroup N, we study the filtration on the Iwasawa cohomology of N by powers of the…
Extensions of unipotent groups, Massey products and Galois cohomology
- Mathematics
- 2017
We study the vanishing of four-fold Massey products in mod p Galois cohomology. First, we describe a sufficient condition, which is simply expressed by the vanishing of some cup-products, in direct…
Massey products in Galois cohomology and the Elementary Type Conjecture
- Mathematics
- 2022
. Let p be a prime. We prove that a positive solution to Efrat’s Elementary Type Conjecture implies a positive solution to a strengthened version of Minac-Tˆan’s Massey Vanishing Conjecture.…
References
SHOWING 1-10 OF 37 REFERENCES
Massey products in the Galois cohomology of number fields
- Mathematics
In this thesis we study the relation structure of the Galois group of the maximal outside a given set S unramified p-extension QS(p) of Q and of the Galois group of the p-class field tower of a…
Galois Groups Over Nonrigid Fields
- Mathematics
- 2000
Let F be a field with char F 6 2. We show that F is a nonrigid field if and only if certain small 2-groups occur as Galois groups over F. These results provide new "automatic realizability" results…
DUALITY THEOREMS IN GALOIS COHOMOLOGY OVER NUMBER FIELDS
- Mathematics
- 2010
the direct limit taken over all finite Galois extensions K of k in which the integral closure Y of X is unramified over X, where GKJk denotes the Galois group of such an extension, and where GY…
Essential dimension: A functorial point of view (After A. Merkurjev)
- Mathematics
- 2003
In these notes we develop a systematic study of the essential dimension of functors. This approach is due to A. Merkurjev and can be found in his unpublished notes [12]. The notion of essential…
Massey products in the Galois cohomology of number fields
- Mathematics
- 2004
We study the relation structure of the Galois group of the maximal outside a finite set of primes unramified p-extension of Q and of the Galois group of the p-class field tower of a quadratic number…
The transfer ideal of quadratic forms and a Hasse norm theorem mod squares
- Mathematics
- 1989
Any finite degree field extension K/F determines an ideal JK/F of the Witt ring WF of F, called the transfer ideal, which is the image of any nonzero transfer map WK -WF. The ideal 59K/F is computed…
SOME EXAMPLES OF FAB AND MILD PRO-p-GROUPS WITH TRIVIAL CUP-PRODUCT
- Mathematics
- 2014
Let $\G_S$ be the Galois group of the maximal pro-$p$-extension $\Q_S$ of $\Q$ unramified outside a finite set $S$ of places of $\Q$ not containing the prime $p>2$. In this work, we develop a method…
Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture
- Mathematics
- 2012
Part I Foundations of Sections.- 1 Continuous Non-abelian H1 with Profinite Coefficients.-2 The Fundamental Groupoid.- 3 Basic Geometric Operations in Terms of Sections.- 4 The Space of Sections as a…