orthogonal group

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orthogonal group

[ȯr′thäg·ən·əl ′grüp]
(mathematics)
The group of matrices arising from the orthogonal transformations of a euclidean space.
References in periodicals archive ?
1 Supercharacter theories of unipotent orthogonal groups
As was the case with the unipotent orthogonal groups, their supercharacter theories are the sets of the form U[Sp.
A supercharacter theory for the Sylow p-subgroups of the finite symplectic and orthogonal groups.
He reviews linear algebras, then describes the group and its subsets, including homomorphism of two groups and the proper symmetric group of a regular polyhedron, the theory of linear representations of groups, the three-dimensional rotation group, permutation groups, Lie groups and Lie algebras, unitary groups, real orthogonal groups and symplectic groups.
The mAgic instruction set is divided into four orthogonal groups that support RISC-like compilation technology.

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