A rotation group is a group in which the elements are orthogonal matrices with determinant 
. In the case of three-dimensional space,
the rotation group is known as the special
orthogonal group.
Rotation Group
See also
Matrix Group, Octahedral Group, Orthogonal Group, Orthogonal Matrix, Rotation Matrix, Special Orthogonal GroupExplore with Wolfram|Alpha
References
Hamermesh, M. Group Theory and its Application to Physical Problems. New York: Dover, pp. 322-325, 1962.Lomont, J. S. Applications of Finite Groups. New York: Dover, pp. 31-32, 1987.McWeeny, R. Symmetry: An Introduction to Group Theory and its Applications. New York: Dover, pp. 171-174, 2002.Referenced on Wolfram|Alpha
Rotation GroupCite this as:
Weisstein, Eric W. "Rotation Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RotationGroup.html