Assertion: abelian group's subgroup | /r/Synonym | special orthogonal group
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Source sentences:
text: The orthogonal matrices with determinant 1 form a subgroup called the special orthogonal group, denoted SO(n), consisting of all direct isometries of O(n), which are those that preserve the orientation of the space.
text: This subgroup is called the special unitary group, denoted SU(n).
text: The”  maximal compact subgroup of GL(n, R) is the orthogonal group O(n), while "the" maximal compact subgroup of GL+(n, R) is the special orthogonal group SO(n).
text: The subgroup of orthogonal matrices with determinant +1 is called the special orthogonal group, denoted SO(3).
text: The group of all proper and improper rotations in n dimensions is called the orthogonal group O(n), and the subgroup of proper rotations is called the special orthogonal group SO(n), which is a Lie group of dimension n(n
text: The subgroup of the unitary group consisting of matrices of determinant 1 is called the special unitary group and denoted SU(n, q) or SU(n, q2).