Similarly, given a and ⁠ b ⁠, the unique solution to x ⋅ ⋅ a = b is ⁠ b ⋅ ⋅ a − − 1 ⁠. For each ⁠ a ⁠, the function G → → G that maps each x to x ⋅ ⋅ a is a bijection called right multiplication by a or right translation by ⁠ a ⁠.