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.

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.

CITE THIS AS:

Weisstein, Eric W. "Rotation Group." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/RotationGroup.html