first isomorphism theorem in English

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      "form": "the first isomorphism theorem",
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        "The theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism."
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          "quotient group",
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      "raw_glosses": [
        "(mathematics, algebra, group theory) The theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism."
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        "group-theory",
        "mathematics",
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  "word": "first isomorphism theorem"
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[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

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      "form": "the first isomorphism theorem",
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        "The theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism."
      ],
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          "mathematics",
          "mathematics"
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          "homomorphism"
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          "quotient group"
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        "(mathematics, algebra, group theory) The theorem in group theory that, for any group homomorphism, the quotient group of the group by the kernel of the homomorphism is isomorphic to the image of the homomorphism."
      ],
      "topics": [
        "algebra",
        "group-theory",
        "mathematics",
        "sciences"
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  ],
  "word": "first isomorphism theorem"
}

Download raw JSONL data for first isomorphism theorem meaning in English (1.3kB)

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-03-25 from the enwiktionary dump dated 2026-03-03 using wiktextract (05c257f and 9d9a410). 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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"first isomorphism theorem" meaning in English

Proper name