O Definition 16: Let h be a subgroup of a group G, and let aeG. we define the left coset of H in G containing g, written gH, by gH={g制h∈H. Similarity we define the right coset of H in G containing g, written Hg, by Hg h gl h ehy G a ah a∈G a∈G Definition 16: Let H be a subgroup of a group G, and let aG. We define the left coset of H in G containing g,written gH, by gH ={g*h| h H}. Similarity we define the right coset of H in G containing g,written Hg, by Hg ={h*g| h H}.   a G a G G H a a H   = =