noun
- plural of coset: in mathematics, a subset formed by multiplying all elements of a subgroup by a fixed element from the larger group
Usage: mathematics; group theory
Examples
- The left cosets of the subgroup partition the entire group.
- Students learned to identify right cosets in their abstract algebra class.
- The number of cosets equals the index of the subgroup.
- Each coset contains the same number of elements as the original subgroup.
- Cosets are fundamental concepts in group theory.
- The professor explained how cosets relate to quotient groups.