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Taras Banakh, Volodymyr Gavrylkiv,Difference bases in finite Abelian groups, Acta Scientiarum Mathematicarum85( · 2019 · arXiv 1704.02471

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Transversal Difference Numbers in Finite Abelian Quotients

math.NT · 2026-06-26 · unverdicted · novelty 6.0

Introduces δ(G,H) for finite abelian quotients, proves δ(G,H) ≥ 2|G/H| - m(G,H) sharp for cyclic cases, and conjectures δ=(2p-1)² for the (Z/p²Z)² case with lower bound 3p²-p-1.

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  • Transversal Difference Numbers in Finite Abelian Quotients math.NT · 2026-06-26 · unverdicted · none · ref 1

    Introduces δ(G,H) for finite abelian quotients, proves δ(G,H) ≥ 2|G/H| - m(G,H) sharp for cyclic cases, and conjectures δ=(2p-1)² for the (Z/p²Z)² case with lower bound 3p²-p-1.