Filtrations of free groups arising from the lower central series

DOI10.1515/jgth-2016-0508zbMath1356.20019arXiv1601.08006OpenAlexW2963803409MaRDI QIDQ285587

Ido Efrat, Michael Chapman

Publication date: 19 May 2016

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.08006

zbMATH Keywords

Massey productslower central seriesfiltrations of free groupslower \(p\)-central filtrations

Mathematics Subject Classification ID

General structure theorems for groups (20E34) Other classes of groups defined by subgroup chains (20F22) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items

THE p-ZASSENHAUS FILTRATION OF A FREE PROFINITE GROUP AND SHUFFLE RELATIONS ⋮ The cohomology of canonical quotients of free groups and Lyndon words ⋮ On the stable Andreadakis problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Filtrations of free groups as intersections.
• 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
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Homology, Massey products and maps between groups
• The kernel unipotent conjecture and the vanishing of Massey products for odd rigid fields
• Commuting-liftable subgroups of Galois groups. II
• The Zassenhaus filtration, Massey products, and representations of profinite groups
• \(p\)-adic analytic groups
• On the associated graded ring of a group ring
• Introduction to birational anabelian geometry
• Galois groups and cohomological functors
• On the descending central sequence of absolute Galois groups
• Über die Faktorgruppen einer absteigenden Zentralreihe
• Milnor invariants and Massey products for prime numbers
• On the Galois group of 2-extensions with restricted ramification
• Review and some critical comments on a paper of Grün concerning the dimension subgroup conjecture
• Massey Higher Products
• Sur les groupes nilpotents et les anneaux de Lie

This page was built for publication: Filtrations of free groups arising from the lower central series