{
  "id": "1702.00807",
  "version": "v1",
  "published": "2017-02-02T19:26:50.000Z",
  "updated": "2017-02-02T19:26:50.000Z",
  "title": "Zero-sum invariants of finite abelian groups",
  "authors": [
    "Weidong Gao",
    "Yuanlin Li",
    "Jiangtao Peng",
    "Guoqing Wang"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "The purpose of the article is to provide an unified way to formulate zero-sum invariants. Let $G$ be a finite additive abelian group. Let $B(G)$ denote the set consisting of all nonempty zero-sum sequences over G. For $\\Omega \\subset B(G$), let $d_{\\Omega}(G)$ be the smallest integer $t$ such that every sequence $S$ over $G$ of length $|S|\\geq t$ has a subsequence in $\\Omega$.We provide some first results and open problems on $d_{\\Omega}(G)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-02T19:26:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P70"
    ],
    "keywords": [
      "finite abelian groups",
      "formulate zero-sum invariants",
      "finite additive abelian group",
      "nonempty zero-sum sequences",
      "open problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}