{
  "aliases": [
    "centralizer"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0Q0Z1BEXTF"
    },
    {
      "field": "uses",
      "target": "7Q3X4FG7A5"
    },
    {
      "field": "uses",
      "target": "9W6KMR96R9"
    },
    {
      "field": "uses",
      "target": "AY0B20QC04"
    },
    {
      "field": "uses",
      "target": "K5CQM8MYYG"
    },
    {
      "field": "uses",
      "target": "NB057FEAAE"
    },
    {
      "field": "uses",
      "target": "TNPQ9AWVBC"
    },
    {
      "field": "about",
      "target": "K5CQM8MYYG"
    }
  ],
  "body": "\n## Summary\n\nThe centraliser of a subset $S$ of a group is the set of elements that commute with each element of $S$.\nIt is a subgroup.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "aliases": [
      "centralizer"
    ],
    "kind": "concept",
    "msc": [
      "20A05"
    ],
    "name": "Centraliser",
    "sources": [
      {
        "locator": "Definitions",
        "url": "https://en.wikipedia.org/wiki/Centralizer_and_normalizer"
      }
    ],
    "specializes": [
      "0X1JXT47GA"
    ],
    "tag": "02YYV36BFM"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/02YYV36BFM/",
  "links": [
    {
      "field": "specializes",
      "target": "0X1JXT47GA"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/02YYV36BFM.md",
  "msc": [
    "20A05"
  ],
  "name": "Centraliser",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/02Y/02YYV36BFM.md",
  "status": null,
  "tag": "02YYV36BFM",
  "uri": "m2://02YYV36BFM",
  "url": "https://tamnd.github.io/math2/wiki/centraliser/",
  "writing": {
    "tag": "02YYV36BFM",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
