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

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2 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 languageEnglish
Article number106260
JournalJournal of Pure and Applied Algebra
Volume224
Issue number6
DOIs
StatePublished - 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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