Cohomology and the Combinatorics of Words for Magnus Formations

Research output: Working paper/PreprintPreprint

21 Downloads (Pure)


 For a prime number p and a free pro-p group G on a totally ordered basis X, we consider closed normal subgroups GΦ of G which are generated by p-powers of iterated commutators associated with Lyndon words in the alphabet X. We express the profinite cohomology group H2 (G/GΦ) combinatorically, in terms of the shuffle algebra on X. This partly extends existing results for the lower p-central
and p-Zassenhaus filtrations of G.
Original languageEnglish
StatePublished - 24 May 2022


  • math.NT


Dive into the research topics of 'Cohomology and the Combinatorics of Words for Magnus Formations'. Together they form a unique fingerprint.

Cite this