| 1. | There is a homomorphism from the Pin group to the orthogonal group.
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| 2. | Matrices of all proper rotations form the special orthogonal group.
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| 3. | These orthogonal transformations form a group under composition, the orthogonal group.
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| 4. | She studied the orthogonal group and its corresponding projective group.
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| 5. | We define the special orthogonal group to be the image of ? 0.
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| 6. | For orthogonal groups in characteristic 2 " S " has a different meaning.
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| 7. | For orthogonal groups there is a similar picture, with a couple of complications.
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| 8. | The group known as the special orthogonal group.
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| 9. | For details, see indefinite orthogonal group.
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| 10. | The spin covering of the orthogonal group provides a short exact sequence of algebraic groups.
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