| 21. | The homography group on this projective line has 12 elements, also described with matrices or as permutations.
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| 22. | Examples include the real projective line, the complex projective line, and the projective line over quaternions.
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| 23. | Examples include the real projective line, the complex projective line, and the projective line over quaternions.
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| 24. | Examples include the real projective line, the complex projective line, and the projective line over quaternions.
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| 25. | The quaternionic projective line \ mathbb { HP } ^ 1 is homeomorphic to the 4-sphere.
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| 26. | In the study of collineations, the case of projective lines is special due to the small dimension.
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| 27. | Since the center acts trivially, the projective linear group,, also acts on the projective line.
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| 28. | For the spacetime conformal group, it is sufficient to consider homographies on the projective line over that ring.
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| 29. | The projective line over the real numbers is called the "'real projective line " '.
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| 30. | The projective line over the real numbers is called the "'real projective line " '.
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