coset.
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.
Meaning & usage
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.
Where this word comes from
From co- + set; apparently first used 1910 by American mathematician George Abram Miller.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.