"Tits alternative" meaning in All languages combined

See Tits alternative on Wiktionary

Proper name [English]

Forms: the Tits alternative [canonical]
Etymology: Named after Jacques Tits. Head templates: {{en-prop|def=1}} the Tits alternative
  1. (mathematics) An important theorem about the structure of finitely generated linear groups.
    Sense id: en-Tits_alternative-en-name-4VmPud2w Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Mathematics Topics: mathematics, sciences
{
  "etymology_text": "Named after Jacques Tits.",
  "forms": [
    {
      "form": "the Tits alternative",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Tits alternative",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "An important theorem about the structure of finitely generated linear groups."
      ],
      "id": "en-Tits_alternative-en-name-4VmPud2w",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "linear group",
          "linear group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An important theorem about the structure of finitely generated linear groups."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Tits alternative"
}
{
  "etymology_text": "Named after Jacques Tits.",
  "forms": [
    {
      "form": "the Tits alternative",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Tits alternative",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "An important theorem about the structure of finitely generated linear groups."
      ],
      "links": [
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          "mathematics"
        ],
        [
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        ],
        [
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        ],
        [
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          "linear group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An important theorem about the structure of finitely generated linear groups."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Tits alternative"
}

Download raw JSONL data for Tits alternative meaning in All languages combined (0.9kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-09-06 from the enwiktionary dump dated 2026-09-02 using wiktextract (ccec6f1 and 4deed51). 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.