MathOverflow

Let $G$ be a pro-$p$ group. Consider the graded algebras$$H^*(G,\mathbb{Z}/p^n\mathbb{Z})$$.Does the structure of these graded algebras determine $G$ up to isomorphism? Feel free to add additional information like the canonical maps $H^*(G,\mathbb{Z...

I'm an independent researcher from Poland submitting a rigorous resolution of the Clay YM mass gap via global RG funnel, OS reconstruction, and full area law (upper/lower via 't Hooft/Peierls) to arXiv math-ph.CO.
As a new user, I need endorsement (code: DNG4WT). Paper abstract:...

I would like to prove cases $n=7,8$ of this conjecture (general question asked here): given any commutative semigroup $S$ of order $n \ge 1$, there exist $a, b \in S$ with $a \ne b$, an integer $m \ge \lfloor (n-1)/2 \rfloor$, an $m$-element subset ...

It seems to me, that a typical science often has simple and important examples whose formulation can be understood (or at least there are some outcomes that can be understood). So if we consider mirror symmetry as science, what are some examples there...