{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0RH1TPDGCQ"
    },
    {
      "field": "uses",
      "target": "BBRSEM0C4H"
    },
    {
      "field": "uses",
      "target": "NC4B8KC479"
    },
    {
      "field": "uses",
      "target": "RQS6YHAR8N"
    },
    {
      "field": "uses",
      "target": "VQ4SSKS53D"
    },
    {
      "field": "about",
      "target": "RQS6YHAR8N"
    }
  ],
  "body": "\n## Summary\n\nThe torsion subgroup of an abelian group is the subgroup of its elements of finite order.\nThe quotient by the torsion subgroup is torsion-free.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "YJVK0QTM6V"
    ],
    "kind": "concept",
    "msc": [
      "20K10"
    ],
    "name": "Torsion subgroup",
    "same_as": {
      "wikidata": "Q2293759",
      "wikipedia": "Torsion subgroup"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Torsion_subgroup"
      }
    ],
    "specializes": [
      "0X1JXT47GA"
    ],
    "tag": "0DBWXQRXQJ"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0DBWXQRXQJ/",
  "links": [
    {
      "field": "specializes",
      "target": "0X1JXT47GA"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0DBWXQRXQJ.md",
  "msc": [
    "20K10"
  ],
  "name": "Torsion subgroup",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0DB/0DBWXQRXQJ.md",
  "status": null,
  "tag": "0DBWXQRXQJ",
  "uri": "m2://0DBWXQRXQJ",
  "url": "https://tamnd.github.io/math2/wiki/torsion-subgroup/",
  "writing": {
    "tag": "0DBWXQRXQJ",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      }
    ]
  }
}