What is Coset?
If G is a [[group (mathematics)|group]] and H a [[subgroup]] of G, x is an element in G, and h is an element in H the '''cosets''' of H in G are defined as follows: *Left coset: xH is the set of all the elements h of H multiplied by x on the left. *Right coset: Hx is the set of all the elements h of H multiplied by x on the right. When xH = Hx we say that H is normal in G. {{Math-stub}} [[Category:Abstract algebra]]