"permutizer" meaning in All languages combined

See permutizer on Wiktionary

Noun [English]

Forms: permutizers [plural]
Etymology: From permute + -izer. Etymology templates: {{suffix|en|permute|izer}} permute + -izer Head templates: {{en-noun}} permutizer (plural permutizers)
  1. (mathematics) A subgroup of all cyclic subgroups that permute with another Categories (topical): Mathematics

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "permute",
        "3": "izer"
      },
      "expansion": "permute + -izer",
      "name": "suffix"
    }
  ],
  "etymology_text": "From permute + -izer.",
  "forms": [
    {
      "form": "permutizers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "permutizer (plural permutizers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -izer",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Daniele Ettore Otera, Francesco G. Russo, “Permutability degrees of finite groups”, in arXiv:",
          "text": "Given a finite group G, we introduce the \\textit{permutability degree} of G, as Gwhere\\mathcal{L}(G)isthesubgrouplatticeofGandP_G(X)thepermutizerofthesubgroupXinG,thatis,thesubgroupgeneratedbyallcyclicsubgroupsofGthatpermutewithX\\in \\mathcal{L}(G)$.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A subgroup of all cyclic subgroups that permute with another"
      ],
      "id": "en-permutizer-en-noun-QDQ9vVES",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "cyclic",
          "cyclic"
        ],
        [
          "permute",
          "permute"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A subgroup of all cyclic subgroups that permute with another"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "permutizer"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "permute",
        "3": "izer"
      },
      "expansion": "permute + -izer",
      "name": "suffix"
    }
  ],
  "etymology_text": "From permute + -izer.",
  "forms": [
    {
      "form": "permutizers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "permutizer (plural permutizers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms suffixed with -izer",
        "English terms with quotations",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Daniele Ettore Otera, Francesco G. Russo, “Permutability degrees of finite groups”, in arXiv:",
          "text": "Given a finite group G, we introduce the \\textit{permutability degree} of G, as Gwhere\\mathcal{L}(G)isthesubgrouplatticeofGandP_G(X)thepermutizerofthesubgroupXinG,thatis,thesubgroupgeneratedbyallcyclicsubgroupsofGthatpermutewithX\\in \\mathcal{L}(G)$.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A subgroup of all cyclic subgroups that permute with another"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "cyclic",
          "cyclic"
        ],
        [
          "permute",
          "permute"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A subgroup of all cyclic subgroups that permute with another"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "permutizer"
}

Download raw JSONL data for permutizer meaning in All languages combined (1.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.