The vanishing n-fold Massey product conjecture for absolute Galois groups

Let pp be a prime number and n3n\geq 3 an integer. Let FF be a field, which contains a primitive pp-th root of unity if char(F)p\operatorname{char}(F)\not=p. Let GFG_F denote the absolute Galois group of FF. Vanishing n-fold Massey product conjecture. The group GFG_F has the vanishing nn-fold Massey product property with respect to Fp\mathbb F_p. This conjecture generalizes the significance of vanishing Massey products in Galois theory and predicts their vanishing for all defined nn-fold products over fields with the stated root-of-unity hypothesis. The supplied text does not state a resolution.

Sources & referencesView supporting material

Primary source

Jan Minac, Nguyen Duy Tan and Ido Efrat, “The Kernel Unipotent Conjecture and the vanishing of Massey products for odd rigid fields”, arXiv:1312.2655 (2014).

Additional references

2 papers in this index state this conjecture (2013). The statement above is taken from the most recent of them; the others are arXiv:1307.6624.

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.