The lower p-central series of a free profinite group and the Shuffle algebra

Ido Efrat

doi:10.1016/j.jpaa.2019.106260

The lower p-central series of a free profinite group and the Shuffle algebra

Ido Efrat

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

For a prime number p and a free profinite group S on the basis X, let S^(n,p), n=1,2,…, be the lower p-central filtration of S. For p>n, we give a combinatorial description of H²(S/S^(n,p),Z/p) in terms of the Shuffle algebra on X.

Original language	English
Article number	106260
Journal	Journal of Pure and Applied Algebra
Volume	224
Issue number	6
DOIs	https://doi.org/10.1016/j.jpaa.2019.106260
State	Published - 1 Jun 2020

Keywords

Absolute Galois groups
Galois cohomology
Lower p-central sequence
Massey products
Shuffle algebra
Unipotent upper-triangular representations

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2019.106260

Cite this

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abstract = "For a prime number p and a free profinite group S on the basis X, let S(n,p), n=1,2,…, be the lower p-central filtration of S. For p>n, we give a combinatorial description of H2(S/S(n,p),Z/p) in terms of the Shuffle algebra on X.",

keywords = "Absolute Galois groups, Galois cohomology, Lower p-central sequence, Massey products, Shuffle algebra, Unipotent upper-triangular representations",

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AB - For a prime number p and a free profinite group S on the basis X, let S(n,p), n=1,2,…, be the lower p-central filtration of S. For p>n, we give a combinatorial description of H2(S/S(n,p),Z/p) in terms of the Shuffle algebra on X.

KW - Absolute Galois groups

KW - Galois cohomology

KW - Lower p-central sequence

KW - Massey products

KW - Shuffle algebra

KW - Unipotent upper-triangular representations

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ER -

The lower p-central series of a free profinite group and the Shuffle algebra

Abstract

Keywords

ASJC Scopus subject areas

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