"Cayley's theorem" meaning in All languages combined

{
  "etymology_text": "Named in honour of Arthur Cayley.",
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  "lang_code": "en",
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          "name": "Group theory",
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      "glosses": [
        "The theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G."
      ],
      "id": "en-Cayley's_theorem-en-name-EMDNsP1Z",
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        "(group theory) The theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G."
      ],
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        "group-theory",
        "mathematics",
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        "Arthur Cayley",
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  "word": "Cayley's theorem"
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  "lang_code": "en",
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      "glosses": [
        "The theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G."
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        "(group theory) The theorem stating that every group G is isomorphic to a subgroup of the symmetric group acting on G."
      ],
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        "group-theory",
        "mathematics",
        "sciences"
      ],
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}