See conjugacy class on Wiktionary
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{ "forms": [ { "form": "conjugacy classes", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "conjugacy class (plural conjugacy classes)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English terms with usage examples", "Pages with 1 entry", "Pages with entries", "en:Algebra" ], "examples": [ { "text": "If a group acts on itself through conjugation, then its orbits are its conjugacy classes and its stabilizer subgroups are its centralizers.", "type": "example" } ], "glosses": [ "A subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation." ], "links": [ [ "algebra", "algebra" ], [ "group", "group" ], [ "equivalence class", "equivalence class" ], [ "quotient set", "quotient set" ], [ "conjugation", "conjugation" ], [ "equivalence relation", "equivalence relation" ] ], "raw_glosses": [ "(algebra) A subset of a group which is an equivalence class in the quotient set of the group divided by conjugation as equivalence relation." ], "tags": [ "error-lua-exec" ], "topics": [ "algebra", "mathematics", "sciences" ], "wikipedia": [ "conjugacy class" ] } ], "word": "conjugacy class" }
Download raw JSONL data for conjugacy class meaning in All languages combined (1.3kB)
{ "called_from": "luaexec/683", "msg": "LUA error in #invoke('usex/templates', 'usex_t') parent ('Template:ux', {1: 'en', 2: \"For a given [[element]] <math>x</math> of some group <math>G</math>, its '''conjugacy class''' <math>x^G</math> is <math>\\\\{y \\\\in G \", '\\\\exists g \\\\in G : g^{-1} x g': 'y\\\\}</math>.'})", "path": [ "conjugacy class", "Template:ux", "#invoke", "#invoke" ], "section": "English", "subsection": "noun", "title": "conjugacy class", "trace": "[string \"Module:parameters\"]:315: bad argument #1 to 'format' (no value)" }
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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.