The special orthogonal group is the Subgroup of the elements of General Orthogonal Group with Determinant 1.
See also General Orthogonal Group, Special Linear Group, Special Unitary Group
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.