{
  "aliases": [
    "range-of-a-homomorphism"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0112DTS464"
    }
  ],
  "body": "\n## Summary\n\nThe image of a group homomorphism $\\varphi \\colon G \\to H$ is the set of the values $\\varphi(g)$ for $g \\in G$.\nIt is a subgroup of $H$.\n",
  "commit": "f591989ed15704e9d8755a7a5a6426d73de7a3ae",
  "front": {
    "aliases": [
      "range-of-a-homomorphism"
    ],
    "kind": "concept",
    "msc": [
      "20A05"
    ],
    "name": "Image of a homomorphism",
    "sources": [
      {
        "locator": "Image and kernel",
        "url": "https://en.wikipedia.org/wiki/Group_homomorphism"
      }
    ],
    "tag": "0S21GNW9ZB"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0S21GNW9ZB/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0S21GNW9ZB.md",
  "msc": [
    "20A05"
  ],
  "name": "Image of a homomorphism",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0S2/0S21GNW9ZB.md",
  "status": null,
  "tag": "0S21GNW9ZB",
  "uri": "m2://0S21GNW9ZB",
  "url": "https://math2.tamnd.com/wiki/image-of-a-homomorphism/",
  "writing": {
    "tag": "0S21GNW9ZB",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
