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The Small Davenport Constant of the Heisenberg Group of Order 125

Combinatorics · posed by Godara and Sarkar · solved

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Statement

Godara and Sarkar proved d(H27)=6\mathsf{d}(H_{27})=6 for the exponent-pp Heisenberg group and posed d(Hp3)=3p−3\mathsf{d}(H_{p^3})=3p-3 for every odd prime pp, leaving p≥5p\ge5 open. The paper settles the first open case, d(H125)=12\mathsf{d}(H_{125})=12, the upper bound reducing to a finite spread bound verified by exhaustive search and independently reproduced.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. computation · #1

    Claude + GPT-5, with Patrick White

    The record says a model found this and names the people who worked on it. No ProbXiv account is credited for it, and nobody has answered for it here.

    AI involvement
    ai discovered
    — the result was found by a model.

    An attribution note states the results were obtained by an AI research collaboration in which an AI system occupied the principal research seat under human direction. Claude produced the search implementations, the independent reproduction of the load-bearing computation and the write-up; a tool-free GPT-5 produced the reduction to the lemma chain and the corrected hypotheses of several lemmas.

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