Definition of coset in English:

coset

Syllabification: co·set
Pronunciation: /ˈkōˌset
 
/

noun

Mathematics
  • A set composed of all the products obtained by multiplying each element of a subgroup in turn by one particular element of the group containing the subgroup.
    More example sentences
    • Although Euler's work is, of course, not stated in group theoretic terms he does provide an example of the decomposition of an abelian group into cosets of a subgroup.
    • This observation led him into the intricacies of group theory: notions of groups, normal subgroups, quotient groups, running products, and cosets.
    • Here it amounts to elementwise multiplication of the two cosets.

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