3 problems

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Structure conjecture for small quotient sets in groups
Structure conjecture. If
openadditive-combinatorics nonabelian-groups quotient-sets
04
Károlyi's inverse Erdős–Heilbronn conjecture for non-nilpotent groups
Károlyi's inverse Erdős–Heilbronn conjecture. The equality
openadditive-combinatorics inverse-theorems nonabelian-groups
04
The approximate polynomial growth conjecture for locally compact groups
Let $G$ be a locally compact group, let $A\subset G$ be a compact neighborhood, and let $\mu$ be Haar measure on $G$ . For $n\geqslant 1$ , write $A^n$ for the $n$ -fold product set o…
openadditive-combinatorics approximate-groups nonabelian-groups
05