Let H be a subgroup of a group G, then the number of left cosets is_________the number of right cosets of H in G.
Let H be a subgroup of a group G, then the number of left cosets is_________the number of right cosets of H in G.
Explanation
- The number of left cosets of H in G is equal to the number of right cosets of H in G.
- This is a fundamental result in group theory, known as the "Equivalence of Left and Right Cosets".