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.
See also
Matrix Group, Octahedral Group, Orthogonal Group, Orthogonal Matrix, Rotation Matrix, Special Orthogonal Group
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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.
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Cite this as:
Weisstein, Eric W. "Rotation Group." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RotationGroup.html