THE p-ZASSENHAUS FILTRATION OF A FREE PROFINITE GROUP AND SHUFFLE RELATIONS

DOI10.1017/S1474748021000426MaRDI QIDQ5882462

Publication date: 16 March 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.08903

zbMATH Keywords

Galois cohomology Massey products shuffle algebra shuffle relations modular dimension subgroups $p$-Zassenhaus filtration

Mathematics Subject Classification ID

Combinatorics on words (68R15) Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Field arithmetic (12E30)

Cites Work

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Filtrations of free groups arising from the lower central series
Knots and primes. An introduction to arithmetic topology. Based on the Japanese original (Springer, 2009)
Quotients of absolute Galois groups which determine the entire Galois cohomology
Dimension subgroups, nilpotency indices, and the number of generators of ideals in p-group algebras
Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
Homology, Massey products and maps between groups
A natural ring basis for the shuffle algebra and an application to group schemes
The cohomology of canonical quotients of free groups and Lyndon words
Triple Massey products and absolute Galois groups
The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields
Splitting varieties for triple Massey products
The lower $p$-central series of a free profinite group and the shuffle algebra
The Zassenhaus filtration, Massey products, and representations of profinite groups
$p$-adic analytic groups
Dimensions of Zassenhaus filtration subquotients of some pro-$p$-groups
Ein Verfahren, jeder endlichen $p$-Gruppe einen Lie-Ring mit der Charakteristik $p$ zuzuordnen
The Massey vanishing conjecture for number fields
GOLOD–SHAFAREVICH GROUPS: A SURVEY
n-Nilpotent Obstructions to pi_1 Sections of P^1-{0,1,infty} and Massey Products
Galois groups and cohomological functors
Triple Massey products vanish over all fields
On the descending central sequence of absolute Galois groups
Four-fold Massey products in Galois cohomology
Mild pro-p-groups and Galois groups of p-extensions of ℚ
A note on commutators in the group of infinite triangular matrices over a ring
Field Arithmetic
Milnor invariants and Massey products for prime numbers
On the Galois group of 2-extensions with restricted ramiﬁcation
Classification of Demushkin Groups
Demuškin groups of rank $\aleph_0$
Zum Satz von GOLOD‐SCHAFAREWITSCH
Free differential calculus. IV: The quotient groups of the lower central series

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