"commutator subgroup" meaning in All languages combined

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    {
      "form": "commutator subgroups",
      "tags": [
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  ],
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      "expansion": "commutator subgroup (plural commutator subgroups)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "examples": [
        {
          "text": "The commutator subgroup is important because it is the smallest normal subgroup such that the quotient group of the original group by this subgroup is abelian.",
          "type": "example"
        }
      ],
      "glosses": [
        "The subgroup of a specified group generated by the larger group's commutators."
      ],
      "id": "en-commutator_subgroup-en-noun-LfuBLgYg",
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          "group",
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          "generate",
          "generate"
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      ],
      "raw_glosses": [
        "(algebra) The subgroup of a specified group generated by the larger group's commutators."
      ],
      "synonyms": [
        {
          "word": "derived group"
        },
        {
          "word": "derived subgroup"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
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  "word": "commutator subgroup"
}

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    {
      "form": "commutator subgroups",
      "tags": [
        "plural"
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  ],
  "head_templates": [
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      "expansion": "commutator subgroup (plural commutator subgroups)",
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      ],
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        "The subgroup of a specified group generated by the larger group's commutators."
      ],
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        "(algebra) The subgroup of a specified group generated by the larger group's commutators."
      ],
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      "word": "derived subgroup"
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  "word": "commutator subgroup"
}