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noun
MathematicsA 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.
- ‘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.’
- ‘The procedure, today much used in computer implementations, enumerates the cosets of a subgroup of finite index in a finitely presented group.’
- ‘This observation led him into the intricacies of group theory: notions of groups, normal subgroups, quotient groups, running products, and cosets.’
- ‘Recall that Heidi seemed to be under the impression that cosets could be defined ostensively.’
- ‘Here it amounts to elementwise multiplication of the two cosets.’
Pronunciation:
Further reading
12 synonyms for fool
Read moreAre you looking for a word for a foolish person? We explore twelve interesting words to describe the dunderheads in your life.
6 ‘run’ phrases you probably don’t know
Read moreBefore you run for the hills, let’s run through a list of ‘run’ expressions that are running through our minds.