Projective Special Orthogonal Group

The projective special orthogonal group PSO_n(q) is the group obtained from the special orthogonal group SO_n(q) on factoring by the scalar matrices contained in that group. In general, this group is not simple.

See also

Projective Special Linear Group, Projective Special Unitary Group, Special Orthogonal Group

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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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Projective Special Orthogonal Group

Cite this as:

Weisstein, Eric W. "Projective Special Orthogonal Group." From MathWorld--A Wolfram Web Resource.

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