coset
noun
coset is a noun meaning “The set that results from applying a group's binary operation with a given fixed element of the group on each element of a given subgroup” (English Wiktionary, September 2026). It is spelled C-O-S-E-T, and it appears about once in every 32 million words in written English (wordfreq, 2021 data). The plural of coset is cosets.
What does coset mean?
noun
- 1
The set that results from applying a group's binary operation with a given fixed element of the group on each element of a given subgroup.
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How do you pronounce coset?
- US
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Recordings: LL-Q1860_(eng)-Flame,_not_lame-coset.wav, Wikimedia Commons (author and licence on each file's page).
Forms of coset
- cosets plural
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How common is coset?
Coset appears about once in every 32 million words in written English, the 171,907th most frequent word form in the list.
Source: written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media).
Coset in Spanish, French, German and Portuguese
In the sense result of applying group operation with fixed element from the parent group on e:
| Language | Words |
|---|---|
| Portuguese | classe lateral |
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Translations are Wiktionary's, by sense; a linked word has its own PlainSpell page.
Where does coset come from?
From co- + set; apparently first used 1910 by American mathematician George Abram Miller.
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).