A rotation group is a mathematical concept that describes all possible rotations in a given space, such as two-dimensional or three-dimensional space. It consists of all the transformations that can be applied to an object by rotating it around a fixed point, without changing its shape or size. In three dimensions, the rotation group is often denoted as SO(3), which stands for the special orthogonal group of degree three. This group includes all rotations around any axis and is fundamental in fields like physics, robotics, and computer graphics, where understanding how objects can be rotated is essential.