{
  "id": "1808.04975",
  "version": "v1",
  "published": "2018-08-15T05:36:14.000Z",
  "updated": "2018-08-15T05:36:14.000Z",
  "title": "A note on matchings in abelian groups",
  "authors": [
    "Mohsen Aliabadi",
    "Shiva Soleimany Dizicheh"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The question of finding sets of monomials which are removable from a generic homogeneous polynomial through a linear change in its variables raised by E. K. Wakeford in 1916. This linear algebra question motivated J. Losonczy to define the concept of acyclic matchings in Zn, and later in abelian groups. In this paper, we give a constructive approach to study the acyclic matchings in acyclic groups",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-15T05:36:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian groups",
      "acyclic matchings",
      "linear algebra question",
      "acyclic groups",
      "generic homogeneous polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}