See group action on Wiktionary
Download JSON data for group action meaning in All languages combined (4.4kB)
{
"forms": [
{
"form": "group actions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "group action (countable and uncountable, plural group actions)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "topical",
"langcode": "en",
"name": "Group theory",
"orig": "en:Group theory",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
},
{
"_dis": "51 49",
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w+disamb"
}
],
"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"
},
{
"_dis": "29 71",
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "24 76",
"kind": "other",
"name": "English entries with topic categories using raw markup",
"parents": [
"Entries with topic categories using raw markup",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "21 79",
"kind": "other",
"name": "English terms with non-redundant non-automated sortkeys",
"parents": [
"Terms with non-redundant non-automated sortkeys",
"Entry maintenance"
],
"source": "w+disamb"
},
{
"_dis": "51 49",
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w+disamb"
}
],
"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",
"sciences",
"social-science",
"sociology"
]
}
],
"wikipedia": [
"group action"
],
"word": "group action"
}
{
"categories": [
"English countable nouns",
"English entries with incorrect language header",
"English entries with topic categories using raw markup",
"English lemmas",
"English multiword terms",
"English nouns",
"English terms with non-redundant non-automated sortkeys",
"English uncountable nouns",
"en:Algebra"
],
"forms": [
{
"form": "group actions",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {
"1": "~"
},
"expansion": "group action (countable and uncountable, plural group actions)",
"name": "en-noun"
}
],
"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."
],
"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"
]
},
{
"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"
}
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-15 from the enwiktionary dump dated 2024-05-02 using wiktextract (8203a16 and 304864d). 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.