See orbit-stabilizer theorem on Wiktionary
{
"head_templates": [
{
"args": {
"1": "-",
"head": "orbit-stabilizer theorem"
},
"expansion": "orbit-stabilizer theorem (uncountable)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [
"Entries with incorrect language header",
"Entry maintenance"
],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "topical",
"langcode": "en",
"name": "Algebra",
"orig": "en:Algebra",
"parents": [
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"A theorem which states that for each element of a given set that a given group acts on, there is a natural bijection between the orbit of that element and the cosets of the stabilizer subgroup with respect to that element."
],
"id": "en-orbit-stabilizer_theorem-en-noun-JCkH4Gd7",
"links": [
[
"algebra",
"algebra"
],
[
"group acts",
"group action"
],
[
"bijection",
"bijection"
],
[
"orbit",
"orbit"
],
[
"coset",
"coset"
],
[
"stabilizer subgroup",
"stabilizer subgroup"
]
],
"raw_glosses": [
"(algebra) A theorem which states that for each element of a given set that a given group acts on, there is a natural bijection between the orbit of that element and the cosets of the stabilizer subgroup with respect to that element."
],
"tags": [
"uncountable"
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"word": "orbit-stabilizer theorem"
}
{
"head_templates": [
{
"args": {
"1": "-",
"head": "orbit-stabilizer theorem"
},
"expansion": "orbit-stabilizer theorem (uncountable)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"English entries with incorrect language header",
"English lemmas",
"English multiword terms",
"English nouns",
"English uncountable nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Algebra"
],
"glosses": [
"A theorem which states that for each element of a given set that a given group acts on, there is a natural bijection between the orbit of that element and the cosets of the stabilizer subgroup with respect to that element."
],
"links": [
[
"algebra",
"algebra"
],
[
"group acts",
"group action"
],
[
"bijection",
"bijection"
],
[
"orbit",
"orbit"
],
[
"coset",
"coset"
],
[
"stabilizer subgroup",
"stabilizer subgroup"
]
],
"raw_glosses": [
"(algebra) A theorem which states that for each element of a given set that a given group acts on, there is a natural bijection between the orbit of that element and the cosets of the stabilizer subgroup with respect to that element."
],
"tags": [
"uncountable"
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
}
],
"word": "orbit-stabilizer theorem"
}
Download raw JSONL data for orbit-stabilizer theorem meaning in All languages combined (1.2kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.