Abstract
Let p be a prime number and F a field containing a root of unity of order p. We relate recent results on vanishing of triple Massey products in the mod-p Galois cohomology of F, due to Hopkins, Wickelgren, Mináč and Tân, to classical results in the theory of central simple algebras. We prove a stronger form of the vanishing property for global fields.
| Original language | English |
|---|---|
| Pages (from-to) | 730-740 |
| Number of pages | 11 |
| Journal | Canadian Mathematical Bulletin |
| Volume | 58 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2015 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© Canadian Mathematical Society 2015.
Funding
The authors were supported by the Israel Science Foundation (grant No. 152/13). Tlie second author was also partially supported by the Kreitman foundation.
| Funders | Funder number |
|---|---|
| Kreitman foundation | |
| Israel Science Foundation | 152/13 |
Keywords
- Brauer groups
- Galois cohomology
- Global ûelds
- Triple massey products