See group action in All languages combined, or Wiktionary
{
"forms": [
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"form": "group actions",
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}
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}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Group theory",
"orig": "en:Group theory",
"parents": [
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"Mathematics",
"Formal sciences",
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],
"glosses": [
"A mapping of a mathematical group to the permutations of an object that is compatible with the group operation."
],
"id": "en-group_action-en-noun-~1qZabrd",
"links": [
[
"group theory",
"group theory"
],
[
"mathematical",
"mathematical"
],
[
"group",
"group"
],
[
"permutations",
"permutations"
]
],
"raw_glosses": [
"(group theory) A mapping of a mathematical group to the permutations of an object that is compatible with the group operation."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"group-theory",
"mathematics",
"sciences"
],
"translations": [
{
"_dis1": "93 7",
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "qún zuòyòng",
"sense": "a mapping of a mathematical group",
"word": "群作用"
},
{
"_dis1": "93 7",
"code": "fi",
"lang": "Finnish",
"sense": "a mapping of a mathematical group",
"word": "ryhän toiminta"
},
{
"_dis1": "93 7",
"code": "fr",
"lang": "French",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "action de groupe"
},
{
"_dis1": "93 7",
"code": "de",
"lang": "German",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "Gruppenaktion"
},
{
"_dis1": "93 7",
"code": "de",
"lang": "German",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "Gruppenoperation"
},
{
"_dis1": "93 7",
"code": "de",
"lang": "German",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "Gruppenwirkung"
},
{
"_dis1": "93 7",
"code": "is",
"lang": "Icelandic",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "grúpuverkun"
},
{
"_dis1": "93 7",
"code": "is",
"lang": "Icelandic",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "verkun grúpu"
},
{
"_dis1": "93 7",
"alt": "ぐんさよう",
"code": "ja",
"lang": "Japanese",
"roman": "gun sayō",
"sense": "a mapping of a mathematical group",
"word": "群作用"
},
{
"_dis1": "93 7",
"code": "ru",
"lang": "Russian",
"roman": "déjstvije grúppy",
"sense": "a mapping of a mathematical group",
"tags": [
"neuter"
],
"word": "де́йствие гру́ппы"
},
{
"_dis1": "93 7",
"code": "sv",
"lang": "Swedish",
"sense": "a mapping of a mathematical group",
"tags": [
"common-gender"
],
"word": "gruppverkan"
}
]
},
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Sociology",
"orig": "en:Sociology",
"parents": [
"Social sciences",
"Sciences",
"Society",
"All topics",
"Fundamental"
],
"source": "w"
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{
"_dis": "37 63",
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{
"_dis": "35 65",
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{
"_dis": "39 61",
"kind": "other",
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"parents": [],
"source": "w+disamb"
},
{
"_dis": "41 59",
"kind": "other",
"name": "Terms with Icelandic translations",
"parents": [],
"source": "w+disamb"
},
{
"_dis": "40 60",
"kind": "other",
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"source": "w+disamb"
},
{
"_dis": "38 62",
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{
"_dis": "40 60",
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"parents": [],
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},
{
"_dis": "41 59",
"kind": "other",
"name": "Terms with Swedish translations",
"parents": [],
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}
],
"glosses": [
"A situation in which a large number of agents take action simultaneously in order to achieve a common goal; their actions are usually coordinated."
],
"id": "en-group_action-en-noun-fSg~AhPc",
"links": [
[
"sociology",
"sociology"
]
],
"raw_glosses": [
"(sociology) A situation in which a large number of agents take action simultaneously in order to achieve a common goal; their actions are usually coordinated."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"human-sciences",
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"wikipedia": [
"group action"
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"word": "group action"
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{
"categories": [
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"English entries with incorrect language header",
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"en:Algebra"
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"forms": [
{
"form": "group actions",
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}
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"expansion": "group action (countable and uncountable, plural group actions)",
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],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Group theory"
],
"glosses": [
"A mapping of a mathematical group to the permutations of an object that is compatible with the group operation."
],
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[
"group theory",
"group theory"
],
[
"mathematical",
"mathematical"
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[
"group",
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]
],
"raw_glosses": [
"(group theory) A mapping of a mathematical group to the permutations of an object that is compatible with the group operation."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"group-theory",
"mathematics",
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{
"categories": [
"en:Sociology"
],
"glosses": [
"A situation in which a large number of agents take action simultaneously in order to achieve a common goal; their actions are usually coordinated."
],
"links": [
[
"sociology",
"sociology"
]
],
"raw_glosses": [
"(sociology) A situation in which a large number of agents take action simultaneously in order to achieve a common goal; their actions are usually coordinated."
],
"tags": [
"countable",
"uncountable"
],
"topics": [
"human-sciences",
"sciences",
"social-science",
"sociology"
]
}
],
"translations": [
{
"code": "cmn",
"lang": "Chinese Mandarin",
"roman": "qún zuòyòng",
"sense": "a mapping of a mathematical group",
"word": "群作用"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "a mapping of a mathematical group",
"word": "ryhän toiminta"
},
{
"code": "fr",
"lang": "French",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "action de groupe"
},
{
"code": "de",
"lang": "German",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "Gruppenaktion"
},
{
"code": "de",
"lang": "German",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "Gruppenoperation"
},
{
"code": "de",
"lang": "German",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "Gruppenwirkung"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "grúpuverkun"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "a mapping of a mathematical group",
"tags": [
"feminine"
],
"word": "verkun grúpu"
},
{
"alt": "ぐんさよう",
"code": "ja",
"lang": "Japanese",
"roman": "gun sayō",
"sense": "a mapping of a mathematical group",
"word": "群作用"
},
{
"code": "ru",
"lang": "Russian",
"roman": "déjstvije grúppy",
"sense": "a mapping of a mathematical group",
"tags": [
"neuter"
],
"word": "де́йствие гру́ппы"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "a mapping of a mathematical group",
"tags": [
"common-gender"
],
"word": "gruppverkan"
}
],
"wikipedia": [
"group action"
],
"word": "group action"
}
Download raw JSONL data for group action meaning in English (3.4kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-10 from the enwiktionary dump dated 2025-01-01 using wiktextract (df33d17 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.