The special orthogonal group 
is the subgroup of the
elements of general orthogonal group 
with determinant 1. 
(often written 
) is the rotation group
for three-dimensional space.
Special Orthogonal Group
See also
Bipolyhedral Group, General Orthogonal Group, Icosahedral Group, Rotation Group, Special Linear Group, Special Unitary GroupExplore with Wolfram|Alpha
References
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. "The Groups
, 
, 
, and 
, and 
." §2.4 in Atlas
of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups.
Oxford, England: Clarendon Press, pp. xi-xii, 1985.Referenced on Wolfram|Alpha
Special Orthogonal GroupCite this as:
Weisstein, Eric W. "Special Orthogonal Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SpecialOrthogonalGroup.html