Group and Lie algebra filtrations and homotopy groups of spheres

DOI10.1112/topo.12301arXiv1805.10894OpenAlexW3120940594WikidataQ121591365 ScholiaQ121591365MaRDI QIDQ6072541

Publication date: 15 September 2023

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.10894

zbMATH Keywords

spheres filtrations homotopy groups group and Lie algebras

Mathematics Subject Classification ID

Group rings (16S34) Structure theory for Lie algebras and superalgebras (17B05) Derived series, central series, and generalizations for groups (20F14) Homotopy groups of spheres (55Q40)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Derived functors of nonadditive functors and homotopy theory
Symmetric ideals in group rings and simplicial homotopy.
Homologie nicht-additiver Funktoren. Anwendungen
A solution of the dimension subgroup problem
Lower central and dimension series of groups.
A colimit of classifying spaces
Dimension subgroups of metabelian p-groups
The augmentation quotients of group rings and the fifth dimension subgroups
On varietal quotients defined by ideals generated by Fox derivatives
The fourth dimension subgroups and polynomial maps
Dimension and lower central subgroups
Group rings and their augmentation ideals
The \(p\)-group generation algorithm
Beziehungen zwischen Gruppen und Idealen in einem speziellen Ring
Combinatorial group theory and the homotopy groups of finite complexes
Combinatorics of double loop suspensions, evaluation maps and Cohen groups
Some relations between homotopy and homology
The mod-\(p\) lower central series and the Adams spectral sequence
Dimension subgroups
On the sphere of origin of infinite families in the homotopy groups of spheres
On the fourth integer dimension subgroup
Homologie singulière des espaces fibrés. Applications
Free differential calculus. I: Derivation in the free group ring
On the Pontryagin product in spaces of paths
Combinatorial descriptions of homotopy groups of certain spaces
ARTIN'S BRAID GROUPS, FREE GROUPS, AND THE LOOP SPACE OF THE 2-SPHERE
Lie dimension subrings
Free Group Rings
Review and some critical comments on a paper of Grün concerning the dimension subgroup conjecture
The dimension subgroup conjecture holds for odd order groups
On symmetric commutator subgroups, braids, links and homotopy groups
The Semi-Simplicial Free Lie Ring
On Dimension Subgroups
Über Beziehungen zwischen höheren Kommutatoren.
Generalization of a Theorem of Magnus
Sur les groupes nilpotents et les anneaux de Lie
On the Homotopy Groups of the Union of Spheres
The Group Ring Of a Class Of Infinite Nilpotent Groups
Free differential calculus. IV: The quotient groups of the lower central series

This page was built for publication: Group and Lie algebra filtrations and homotopy groups of spheres