A symmetry group is a group of symmetry-preserving operations, i.e., rotations, reflections, and inversions (Arfken 1985, p. 245).
Symmetry Group
See also
Abstract Group, Group Explore this topic in the MathWorld classroomExplore with Wolfram|Alpha
References
Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, 1985.Referenced on Wolfram|Alpha
Symmetry GroupCite this as:
Weisstein, Eric W. "Symmetry Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SymmetryGroup.html