3 problems

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Inverse restricted sumset conjecture at the prime threshold
Let $G$ be an abelian group, let $p$ be the smallest prime divisor of the order of $G$ , and let $A$ be an $m$ -subset of $G$ . Assume that $m$ and $h$ are positive integers satisfyin…
Conjectureopenadditive-combinatorics inverse-additive-theory sumsetsarXiv posted 2 days ago
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Inverse restricted Erdős–Heilbronn conjecture below the prime threshold
Let $G$ be an abelian group, let $p$ be the smallest prime divisor of the order of $G$ , and let $A$ be an $m$ -subset of $G$ . Assume that $m$ and $h$ are positive integers satisfyin…
Conjectureopenadditive-combinatorics inverse-additive-theory sumsetsarXiv posted 2 days ago
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Inverse restricted-sumset conjecture above the small-set threshold
Let $G$ be a finite abelian group of order $n$ , let $p$ be the smallest prime divisor of $n$ , and let $A$ be an $m$ -subset of $G$ . Inverse restricted-sumset conjecture. If…
Conjectureopenadditive-combinatorics inverse-additive-theory restricted-sumsetsarXiv posted 2 days ago

Inverse restricted sumset conjecture at the prime threshold