{"paper":{"title":"On short zero-sum subsequences of zero-sum sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"Guoqing Wang, Jujuan Zhuang, Qinghai Zhong, Weidong Gao, Yushuang Fan","submitted_at":"2011-08-14T12:47:41Z","abstract_excerpt":"Let $G$ be a finite abelian group, and let $\\eta(G)$ be the smallest integer $d$ such that every sequence over $G$ of length at least $d$ contains a zero-sum subsequence $T$ with length $|T|\\in [1,\\exp(G)]$. In this paper, we investigate the question whether all non-cyclic finite abelian groups $G$ share with the following property: There exists at least one integer $t\\in [\\exp(G)+1,\\eta(G)-1]$ such that every zero-sum sequence of length exactly $t$ contains a zero-sum subsequence of length in $[1,\\exp(G)]$. Previous results showed that the groups $C_n^2$ ($n\\geq 3$) and $C_3^3$ have the prope"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.2866","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}