Project demonstrates the exact minimum order for unique multiset sums in finite abelian groups, indicating significant implications for mathematical evaluations.
This project presents a proof of the exact minimum order for unique multiset sums in finite abelian groups, resolving an open problem posed by J. A. R. Fonollosa. It establishes the sharp bound 2ⁿ⁻¹, classifies all equality cases, and derives a consequence for finite-abelian character schemes used in permanent evaluation.
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Michael Behzat Ali Inal (2026) studied this question.
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