“COSETS” на українській мові

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 .

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 .

The procedure, today much used in computer implementations, enumerates the cosets of a subgroup of finite index in a finitely presented group.