{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0QP2YYR79N"
    },
    {
      "field": "uses",
      "target": "1CPW6AG86Y"
    },
    {
      "field": "uses",
      "target": "464TFVZ9JA"
    },
    {
      "field": "uses",
      "target": "4XQ8TYS2C4"
    },
    {
      "field": "uses",
      "target": "AADNYSB6TC"
    },
    {
      "field": "uses",
      "target": "JY5TC2XCKH"
    },
    {
      "field": "uses",
      "target": "NHVQ6G3Z85"
    },
    {
      "field": "uses",
      "target": "NRJQP7FXFM"
    },
    {
      "field": "uses",
      "target": "PK3RPS6EF4"
    },
    {
      "field": "uses",
      "target": "Z20AM1KT9R"
    },
    {
      "field": "specializes",
      "target": "BDJ1AX4XBB"
    }
  ],
  "body": "\n## Summary\n\nA group action is transitive when it has exactly one orbit.\nThen each point can be moved onto each other point by some element of the group.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "kind": "concept",
    "msc": [
      "20B05"
    ],
    "name": "Transitive action",
    "sources": [
      {
        "locator": "Transitivity properties",
        "url": "https://en.wikipedia.org/wiki/Group_action"
      }
    ],
    "specializes": [
      "0WCY42EV9V"
    ],
    "tag": "02GK6HZYBT"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/02GK6HZYBT/",
  "links": [
    {
      "field": "specializes",
      "target": "0WCY42EV9V"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/02GK6HZYBT.md",
  "msc": [
    "20B05"
  ],
  "name": "Transitive action",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/02G/02GK6HZYBT.md",
  "status": null,
  "tag": "02GK6HZYBT",
  "uri": "m2://02GK6HZYBT",
  "url": "https://tamnd.github.io/math2/wiki/transitive-action/",
  "writing": {
    "tag": "02GK6HZYBT",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}