General Orthogonal Group

The general orthogonal group GO_n(q,F) is the subgroup of all elements of the projective general linear group that fix the particular nonsingular quadratic form F. The determinant of such an element is +/-1.

See also

Projective General Linear 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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General Orthogonal Group

Cite this as:

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

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