Published March 24, 2026 | Version v1

Davenport Constants for Rank-3 Finite Abelian Groups

Authors/Creators

  • 1. Southern Illinois University Edwardsville

Description

We compute the Davenport constant D(G) for nine rank-3 finite abelian groups by branch-and-bound search with bitmask memoization. Key values include D(Z_4^3)=10, D(Z_3 x Z_3 x Z_6)=10, and D(Z_2 x Z_6 x Z_6)=12. In every case D(G) equals the Gao lower bound D*(G), providing computational evidence for the conjecture that D=D* for all finite abelian groups.

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