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Special Orthogonal Group


The special orthogonal group SO_n(q) is the subgroup of the elements of general orthogonal group GO_n(q) with determinant 1. SO_3 (often written SO(3)) is the rotation group for three-dimensional space.


See also

Bipolyhedral Group, General Orthogonal Group, Icosahedral Group, Rotation Group, Special Linear Group, Special Unitary Group

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References

Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. "The Groups GO_n(q), SO_n(q), PGO_n(q), and PSO_n(q), and O_n(q)." §2.4 in Atlas of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups. Oxford, England: Clarendon Press, pp. xi-xii, 1985.

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Special Orthogonal Group

Cite this as:

Weisstein, Eric W. "Special Orthogonal Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SpecialOrthogonalGroup.html

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