"outer automorphism" meaning in English

See outer automorphism in All languages combined, or Wiktionary

Noun

Forms: outer automorphisms [plural]
Head templates: {{en-noun}} outer automorphism (plural outer automorphisms)
  1. (algebra) An automorphism which is not an inner automorphism. Categories (topical): Algebra Derived forms: outer automorphism group
    Sense id: en-outer_automorphism-en-noun-T9MnIwQ9 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

{
  "antonyms": [
    {
      "word": "inner automorphism"
    }
  ],
  "forms": [
    {
      "form": "outer automorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "outer automorphism (plural outer 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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "outer automorphism group"
        }
      ],
      "glosses": [
        "An automorphism which is not an inner automorphism."
      ],
      "id": "en-outer_automorphism-en-noun-T9MnIwQ9",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "automorphism",
          "automorphism"
        ],
        [
          "inner automorphism",
          "inner automorphism"
        ]
      ],
      "raw_glosses": [
        "(algebra) An automorphism which is not an inner automorphism."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "outer automorphism"
}
{
  "antonyms": [
    {
      "word": "inner automorphism"
    }
  ],
  "derived": [
    {
      "word": "outer automorphism group"
    }
  ],
  "forms": [
    {
      "form": "outer automorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "outer automorphism (plural outer automorphisms)",
      "name": "en-noun"
    }
  ],
  "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",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Algebra"
      ],
      "glosses": [
        "An automorphism which is not an inner automorphism."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "automorphism",
          "automorphism"
        ],
        [
          "inner automorphism",
          "inner automorphism"
        ]
      ],
      "raw_glosses": [
        "(algebra) An automorphism which is not an inner automorphism."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "outer automorphism"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-02-15 from the enwiktionary dump dated 2025-02-02 using wiktextract (ca09fec and c40eb85). 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.

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