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 language | English |
---|---|
Pages (from-to) | 25-62 |
Number of pages | 38 |
Journal | Journal of Group Theory |
Volume | 25 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jan 2022 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory