"fixed field" meaning in All languages combined

See fixed field on Wiktionary

Noun [English]

Forms: fixed fields [plural]
Head templates: {{en-noun}} fixed field (plural fixed fields)
  1. (algebra, Galois theory) A subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field. Categories (topical): Algebra
    Sense id: en-fixed_field-en-noun-z5TxtXl8 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: algebra, mathematics, sciences

Inflected forms

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            "Formal sciences",
            "Sciences",
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      ],
      "glosses": [
        "A subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field."
      ],
      "id": "en-fixed_field-en-noun-z5TxtXl8",
      "links": [
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        [
          "subfield",
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        ],
        [
          "fixed point",
          "fixed point"
        ],
        [
          "automorphism group",
          "automorphism group"
        ]
      ],
      "qualifier": "Galois theory",
      "raw_glosses": [
        "(algebra, Galois theory) A subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
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        "A subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field."
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        "(algebra, Galois theory) A subfield of a given field which contains all of the fixed points that are common to all of the automorphisms of some subgroup of the automorphism group of that given field."
      ],
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-03 from the enwiktionary dump dated 2025-01-01 using wiktextract (eaedd02 and 8fbd9e8). 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.