Two families of pro-P groups that are not absolute Galois groups

Claudio Quadrelli

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Let p be a prime. We produce two new families of pro-p groups which are not realizable as absolute Galois groups of fields. To prove this, we use the 1-smoothness property of absolute Galois pro-p groups. Moreover, we show in these families, one has several pro-p groups which may not be ruled out as absolute Galois groups employing the quadraticity of Galois cohomology (a consequence of the norm residue theorem), or the vanishing of Massey products in Galois cohomology.

Original languageEnglish
Pages (from-to)25-62
Number of pages38
JournalJournal of Group Theory
Volume25
Issue number1
DOIs
StatePublished - 1 Jan 2022
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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