See lamplighter group on Wiktionary
{ "etymology_text": "The group can be viewed as acting on a doubly infinite sequence of street lamps …,l_-2,l_-1,l_0,l_1,l_2,l_3,… each of which may be on or off, with a lamplighter standing at some lamp l_k.", "forms": [ { "form": "lamplighter groups", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "lamplighter group (plural lamplighter 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": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "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": [ "The restricted wreath product mathbf Z₂≀ mathbf Z." ], "id": "en-lamplighter_group-en-noun-QCHzE~RD", "links": [ [ "group theory", "group theory" ], [ "wreath product", "wreath product" ] ], "raw_glosses": [ "(group theory) The restricted wreath product mathbf Z₂≀ mathbf Z." ], "topics": [ "group-theory", "mathematics", "sciences" ], "wikipedia": [ "lamplighter group" ] } ], "word": "lamplighter group" }
{ "etymology_text": "The group can be viewed as acting on a doubly infinite sequence of street lamps …,l_-2,l_-1,l_0,l_1,l_2,l_3,… each of which may be on or off, with a lamplighter standing at some lamp l_k.", "forms": [ { "form": "lamplighter groups", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "lamplighter group (plural lamplighter groups)", "name": "en-noun" } ], "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", "Pages with 1 entry", "Pages with entries", "en:Group theory" ], "glosses": [ "The restricted wreath product mathbf Z₂≀ mathbf Z." ], "links": [ [ "group theory", "group theory" ], [ "wreath product", "wreath product" ] ], "raw_glosses": [ "(group theory) The restricted wreath product mathbf Z₂≀ mathbf Z." ], "topics": [ "group-theory", "mathematics", "sciences" ], "wikipedia": [ "lamplighter group" ] } ], "word": "lamplighter group" }
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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 2024-12-08 from the enwiktionary dump dated 2024-12-04 using wiktextract (bb46d54 and 0c3c9f6). 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.