COSET

(noun)

Did you mean?

Also try..

Definitions

There is 1 meaning of the word Coset.

Coset - as a noun

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.

Example Sentences

"In algebra, a coset is a subset of a group that can be obtained by multiplying all the elements of a fixed element by a particular element of the group."

"To determine whether a subset is a coset, we need to check if it contains all elements produced by left (or right) multiplication of a fixed element."

"The cosets of a subgroup form a partition of the whole group."

"In modular arithmetic, cosets are particularly useful to understand congruence relationships."

"To study properties of a group, it is often helpful to examine the cosets associated with a subgroup."