"inner automorphism" meaning in All languages combined

See inner automorphism on Wiktionary

Noun [English]

Forms: inner automorphisms [plural]
Head templates: {{en-noun}} inner automorphism (plural inner automorphisms)
  1. (algebra) An automorphism which is a conjugation (by a fixed element). Wikipedia link: inner automorphism Categories (topical): Algebra Holonyms: inner automorphism group
    Sense id: en-inner_automorphism-en-noun-mu3Xd211 Categories (other): English entries with incorrect language header Topics: algebra, mathematics, sciences

Inflected forms

Download JSON data for inner automorphism meaning in All languages combined (1.1kB)

{
  "antonyms": [
    {
      "word": "outer automorphism"
    }
  ],
  "forms": [
    {
      "form": "inner automorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "inner automorphism (plural inner automorphisms)",
      "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": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An automorphism which is a conjugation (by a fixed element)."
      ],
      "holonyms": [
        {
          "word": "inner automorphism group"
        }
      ],
      "id": "en-inner_automorphism-en-noun-mu3Xd211",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "automorphism",
          "automorphism"
        ],
        [
          "conjugation",
          "conjugation"
        ]
      ],
      "raw_glosses": [
        "(algebra) An automorphism which is a conjugation (by a fixed element)."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "inner automorphism"
      ]
    }
  ],
  "word": "inner automorphism"
}
{
  "antonyms": [
    {
      "word": "outer automorphism"
    }
  ],
  "forms": [
    {
      "form": "inner automorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "inner automorphism (plural inner automorphisms)",
      "name": "en-noun"
    }
  ],
  "holonyms": [
    {
      "word": "inner automorphism group"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Algebra"
      ],
      "glosses": [
        "An automorphism which is a conjugation (by a fixed element)."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "automorphism",
          "automorphism"
        ],
        [
          "conjugation",
          "conjugation"
        ]
      ],
      "raw_glosses": [
        "(algebra) An automorphism which is a conjugation (by a fixed element)."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "inner automorphism"
      ]
    }
  ],
  "word": "inner automorphism"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.