See stabilizer subgroup on Wiktionary
{ "derived": [ { "_dis1": "45 55", "word": "orbit-stabilizer theorem" } ], "forms": [ { "form": "stabilizer subgroups", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "stabilizer subgroup (plural stabilizer subgroups)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [], "source": "w" }, { "_dis": "50 50", "kind": "other", "name": "English entries with incorrect language header", "parents": [], "source": "w+disamb" }, { "_dis": "51 49", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "50 50", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" } ], "glosses": [ "Said of a group acting on a set, and with respect to an element of that set: the subgroup of the given group whose action leaves that element fixed." ], "id": "en-stabilizer_subgroup-en-noun-TgVRXHL3", "links": [ [ "algebra", "algebra" ], [ "group acting", "group action" ], [ "fixed", "fixed point" ] ], "raw_glosses": [ "(algebra) Said of a group acting on a set, and with respect to an element of that set: the subgroup of the given group whose action leaves that element fixed." ], "topics": [ "algebra", "mathematics", "sciences" ] }, { "categories": [ { "kind": "other", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [], "source": "w" }, { "_dis": "50 50", "kind": "other", "name": "English entries with incorrect language header", "parents": [], "source": "w+disamb" }, { "_dis": "51 49", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "50 50", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" } ], "glosses": [ "Said of a group acting on a set, and with respect to a subset of that set: the subgroup of the given group for which the image of the set under the group action is a subset of the original set. Some authors instead define this to be the subgroup of the given group whose action leaves each element of the subset fixed." ], "id": "en-stabilizer_subgroup-en-noun-IoI9KhbL", "links": [ [ "algebra", "algebra" ], [ "group acting", "group action" ] ], "raw_glosses": [ "(algebra) Said of a group acting on a set, and with respect to a subset of that set: the subgroup of the given group for which the image of the set under the group action is a subset of the original set. Some authors instead define this to be the subgroup of the given group whose action leaves each element of the subset fixed." ], "topics": [ "algebra", "mathematics", "sciences" ] } ], "word": "stabilizer subgroup" }
{ "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "Pages with 1 entry", "Pages with entries" ], "derived": [ { "word": "orbit-stabilizer theorem" } ], "forms": [ { "form": "stabilizer subgroups", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "stabilizer subgroup (plural stabilizer subgroups)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "en:Algebra" ], "glosses": [ "Said of a group acting on a set, and with respect to an element of that set: the subgroup of the given group whose action leaves that element fixed." ], "links": [ [ "algebra", "algebra" ], [ "group acting", "group action" ], [ "fixed", "fixed point" ] ], "raw_glosses": [ "(algebra) Said of a group acting on a set, and with respect to an element of that set: the subgroup of the given group whose action leaves that element fixed." ], "topics": [ "algebra", "mathematics", "sciences" ] }, { "categories": [ "en:Algebra" ], "glosses": [ "Said of a group acting on a set, and with respect to a subset of that set: the subgroup of the given group for which the image of the set under the group action is a subset of the original set. Some authors instead define this to be the subgroup of the given group whose action leaves each element of the subset fixed." ], "links": [ [ "algebra", "algebra" ], [ "group acting", "group action" ] ], "raw_glosses": [ "(algebra) Said of a group acting on a set, and with respect to a subset of that set: the subgroup of the given group for which the image of the set under the group action is a subset of the original set. Some authors instead define this to be the subgroup of the given group whose action leaves each element of the subset fixed." ], "topics": [ "algebra", "mathematics", "sciences" ] } ], "word": "stabilizer subgroup" }
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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 2025-06-01 from the enwiktionary dump dated 2025-05-20 using wiktextract (3dadd05 and f1c2b61). 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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