7 problems

Let $\Gamma$ be a group. For each $k$, let $c_k(\Gamma)$ denote the largest cardinality of a primitive set in $H^1(\Gamma,\mathbb Z)$ for which all $k$-fold Massey products vanish.…

Massey vanishing conjecture. $G_K$ satisfies the Massey vanishing property.

Mináč–Tăn's conjecture. For every field $F$, every prime $p$, every $n\geq 3$, and all $\chi_1,\dots,\chi_n\in H^1(F,\mathbb Z/p\mathbb Z)$, if the Massey product

Let $p>3$ be a prime, and let $K$ be an imaginary quadratic field whose class group has $p$-rank two. Set … Choose a basis $x,y$ of $H^1(G,\mathbb{Z}/p\mathbb{Z})$, and let…

Let $X$ and $Y$ be closed $(n{-}1)$-connected $m$-manifolds, with $n>1$ and $m\leq 5n-2$. Let … be an isomorphism of cohomology algebras. Write $\mathcal{T}_b$ and $\mathcal{T}_c$…

Let $k$ be a field, let $p$ be a prime, and let $n\geq 3$. For cohomology classes … consider the $n$-fold Massey product…

Let $p$ be a prime number and $n\geq 3$ an integer. Let $F$ be a field, which contains a primitive $p$-th root of unity if $\operatorname{char}(F)\not=p$. Let $G_F$ denote the abso…