1. The problem statement, all variables and given/known data Let H be a subgroup of G such that g^-1hg is an element of H for all g in G and all h in H. Show that every left coset gH is the same as the right coset Hg. 2. Relevant equations 3. The attempt at a solution need to show gh1=h2g I know I need to show this, but am unsure on how to.