See Normalteiler on Wiktionary
{ "categories": [ { "kind": "other", "name": "Anagramm sortiert (Deutsch)", "parents": [], "source": "w" }, { "kind": "other", "name": "Deutsch", "parents": [], "source": "w" }, { "kind": "other", "name": "Grundformeintrag (Deutsch)", "parents": [], "source": "w" }, { "kind": "other", "name": "Roter Audiolink", "parents": [], "source": "w" }, { "kind": "other", "name": "Rückläufige Wörterliste (Deutsch)", "parents": [], "source": "w" }, { "kind": "other", "name": "Rückläufige Wörterliste Grundformeintrag (Deutsch)", "parents": [], "source": "w" }, { "kind": "other", "name": "Substantiv (Deutsch)", "parents": [], "source": "w" }, { "kind": "other", "name": "Substantiv m (Deutsch)", "parents": [], "source": "w" }, { "kind": "other", "name": "Wiktionary:Audio-Datei", "parents": [], "source": "w" }, { "kind": "other", "name": "Siehe auch", "orig": "siehe auch", "parents": [], "source": "w" } ], "forms": [ { "form": "der Normalteiler", "tags": [ "nominative", "singular" ] }, { "form": "die Normalteiler", "tags": [ "nominative", "plural" ] }, { "form": "des Normalteilers", "tags": [ "genitive", "singular" ] }, { "form": "der Normalteiler", "tags": [ "genitive", "plural" ] }, { "form": "dem Normalteiler", "tags": [ "dative", "singular" ] }, { "form": "den Normalteilern", "tags": [ "dative", "plural" ] }, { "form": "den Normalteiler", "tags": [ "accusative", "singular" ] }, { "form": "die Normalteiler", "tags": [ "accusative", "plural" ] } ], "hypernyms": [ { "sense_index": "1", "word": "Untergruppe" } ], "hyphenation": "Nor·mal·tei·ler", "lang": "Deutsch", "lang_code": "de", "pos": "noun", "senses": [ { "examples": [ { "text": "Das Zentrum und die Kommutatorgruppe einer Gruppe sind stets Normalteiler von ihr." }, { "text": "Die Untergruppen einer kommutativen Gruppe sind trivialerweise stets zugleich Normalteiler." } ], "glosses": [ "eine Untergruppe N einer Gruppe G, mit der für jedes g aus G gilt: gNg⁻¹=N." ], "id": "de-Normalteiler-de-noun-QXKlG9MN", "raw_tags": [ "Gruppentheorie" ], "sense_index": "1", "topics": [ "mathematics" ] } ], "sounds": [ { "ipa": "nɔʁˈmaːlˌtaɪ̯lɐ" }, { "audio": "De-Normalteiler.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/41/De-Normalteiler.ogg/De-Normalteiler.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Normalteiler.ogg" } ], "tags": [ "masculine" ], "translations": [ { "lang": "Englisch", "lang_code": "en", "sense_index": "1", "word": "normal subgroup" }, { "lang": "Französisch", "lang_code": "fr", "sense_index": "1", "word": "sous-groupe normal" }, { "lang": "Schwedisch", "lang_code": "sv", "sense_index": "1", "word": "normal delgrupp" } ], "word": "Normalteiler" }
{ "categories": [ "Anagramm sortiert (Deutsch)", "Deutsch", "Grundformeintrag (Deutsch)", "Roter Audiolink", "Rückläufige Wörterliste (Deutsch)", "Rückläufige Wörterliste Grundformeintrag (Deutsch)", "Substantiv (Deutsch)", "Substantiv m (Deutsch)", "Wiktionary:Audio-Datei", "siehe auch" ], "forms": [ { "form": "der Normalteiler", "tags": [ "nominative", "singular" ] }, { "form": "die Normalteiler", "tags": [ "nominative", "plural" ] }, { "form": "des Normalteilers", "tags": [ "genitive", "singular" ] }, { "form": "der Normalteiler", "tags": [ "genitive", "plural" ] }, { "form": "dem Normalteiler", "tags": [ "dative", "singular" ] }, { "form": "den Normalteilern", "tags": [ "dative", "plural" ] }, { "form": "den Normalteiler", "tags": [ "accusative", "singular" ] }, { "form": "die Normalteiler", "tags": [ "accusative", "plural" ] } ], "hypernyms": [ { "sense_index": "1", "word": "Untergruppe" } ], "hyphenation": "Nor·mal·tei·ler", "lang": "Deutsch", "lang_code": "de", "pos": "noun", "senses": [ { "examples": [ { "text": "Das Zentrum und die Kommutatorgruppe einer Gruppe sind stets Normalteiler von ihr." }, { "text": "Die Untergruppen einer kommutativen Gruppe sind trivialerweise stets zugleich Normalteiler." } ], "glosses": [ "eine Untergruppe N einer Gruppe G, mit der für jedes g aus G gilt: gNg⁻¹=N." ], "raw_tags": [ "Gruppentheorie" ], "sense_index": "1", "topics": [ "mathematics" ] } ], "sounds": [ { "ipa": "nɔʁˈmaːlˌtaɪ̯lɐ" }, { "audio": "De-Normalteiler.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/4/41/De-Normalteiler.ogg/De-Normalteiler.ogg.mp3", "ogg_url": "https://commons.wikimedia.org/wiki/Special:FilePath/De-Normalteiler.ogg" } ], "tags": [ "masculine" ], "translations": [ { "lang": "Englisch", "lang_code": "en", "sense_index": "1", "word": "normal subgroup" }, { "lang": "Französisch", "lang_code": "fr", "sense_index": "1", "word": "sous-groupe normal" }, { "lang": "Schwedisch", "lang_code": "sv", "sense_index": "1", "word": "normal delgrupp" } ], "word": "Normalteiler" }
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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 2025-01-12 from the dewiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). 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.