{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0DZPD2MG33"
    },
    {
      "field": "uses",
      "target": "2HKA02YDDM"
    },
    {
      "field": "uses",
      "target": "7Q3X4FG7A5"
    },
    {
      "field": "uses",
      "target": "G0JDQQRTGV"
    },
    {
      "field": "uses",
      "target": "P52TCSHP7R"
    },
    {
      "field": "uses",
      "target": "P6WSG7DT4Q"
    },
    {
      "field": "uses",
      "target": "RSBFHHPTWX"
    },
    {
      "field": "uses",
      "target": "S06VTCGCHN"
    },
    {
      "field": "uses",
      "target": "XK7H3YXBQT"
    },
    {
      "field": "uses",
      "target": "YFSKBA5BDZ"
    },
    {
      "field": "uses",
      "target": "ZZYCV5EX9J"
    },
    {
      "field": "specializes",
      "target": "DK87YN458D"
    },
    {
      "field": "about",
      "target": "P6WSG7DT4Q"
    },
    {
      "field": "about",
      "target": "RSBFHHPTWX"
    }
  ],
  "body": "\n## Summary\n\nA nilpotent group is a group that has a central series of finite length.\nEquivalently, its lower central series reaches the trivial subgroup, or its upper central series reaches the whole group.\n",
  "commit": "ff8a40749dc16545e3d2fc637f6b0196e81d0bfa",
  "front": {
    "inventory": [
      "AN65SA9AHA"
    ],
    "kind": "concept",
    "msc": [
      "20F18"
    ],
    "name": "Nilpotent group",
    "same_as": {
      "wikidata": "Q1755242",
      "wikipedia": "Nilpotent group"
    },
    "sources": [
      {
        "locator": "Definition",
        "url": "https://en.wikipedia.org/wiki/Nilpotent_group"
      }
    ],
    "specializes": [
      "0FXJ7YFMMX"
    ],
    "tag": "0Q7MMQHC1P"
  },
  "kind": "concept",
  "link": "https://tamnd.github.io/math2/node/0Q7MMQHC1P/",
  "links": [
    {
      "field": "specializes",
      "target": "0FXJ7YFMMX"
    }
  ],
  "markdown": "https://tamnd.github.io/math2/node/0Q7MMQHC1P.md",
  "msc": [
    "20F18"
  ],
  "name": "Nilpotent group",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0Q7/0Q7MMQHC1P.md",
  "status": null,
  "tag": "0Q7MMQHC1P",
  "uri": "m2://0Q7MMQHC1P",
  "url": "https://tamnd.github.io/math2/wiki/nilpotent-group/",
  "writing": {
    "tag": "0Q7MMQHC1P",
    "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
      }
    ]
  }
}