See alternating group in All languages combined, or Wiktionary
Download JSON data for alternating group meaning in English (1.3kB)
{
"forms": [
{
"form": "alternating groups",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "alternating group (plural alternating groups)",
"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": "topical",
"langcode": "en",
"name": "Group theory",
"orig": "en:Group theory",
"parents": [
"Algebra",
"Mathematics",
"Formal sciences",
"Sciences",
"All topics",
"Fundamental"
],
"source": "w"
}
],
"glosses": [
"a group of even permutations of a finite set"
],
"holonyms": [
{
"word": "symmetric group"
}
],
"id": "en-alternating_group-en-noun-Xjz7d~1w",
"links": [
[
"group theory",
"group theory"
],
[
"group",
"group#English"
],
[
"even permutations",
"even permutation#English"
],
[
"finite",
"finite#English"
],
[
"set",
"set#English"
]
],
"raw_glosses": [
"(group theory) a group of even permutations of a finite set"
],
"topics": [
"group-theory",
"mathematics",
"sciences"
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "group of even permutations",
"word": "alternoiva ryhmä"
}
],
"wikipedia": [
"alternating group"
]
}
],
"word": "alternating group"
}
{
"forms": [
{
"form": "alternating groups",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "alternating group (plural alternating groups)",
"name": "en-noun"
}
],
"holonyms": [
{
"word": "symmetric group"
}
],
"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",
"en:Group theory"
],
"glosses": [
"a group of even permutations of a finite set"
],
"links": [
[
"group theory",
"group theory"
],
[
"group",
"group#English"
],
[
"even permutations",
"even permutation#English"
],
[
"finite",
"finite#English"
],
[
"set",
"set#English"
]
],
"raw_glosses": [
"(group theory) a group of even permutations of a finite set"
],
"topics": [
"group-theory",
"mathematics",
"sciences"
],
"wikipedia": [
"alternating group"
]
}
],
"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "group of even permutations",
"word": "alternoiva ryhmä"
}
],
"word": "alternating group"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.