The Massey vanishing conjecture for number fields
Yonatan Harpaz, Olivier Wittenberg
Abstract
A conjecture of Mináč and Tân predicts that for any n≥3, any prime p, and any field k, the Massey product of n Galois cohomology classes in H1(k,Z∕pZ) must vanish if it is defined. We establish this conjecture when k is a number field.
Topics & Concepts
MathematicsConjectureCohomologyProduct (mathematics)Prime (order theory)CombinatoricsField (mathematics)Algebraic number fieldPure mathematicsDiscrete mathematicsGeometryAlgebraic Geometry and Number TheoryCommutative Algebra and Its ApplicationsAdvanced Algebra and Geometry