| 31. | In pure mathematics, he is best known as the inventor of quaternions.
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| 32. | This event marks the discovery of the quaternion group.
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| 33. | After Hamilton's death, his student Peter Tait continued promoting quaternions.
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| 34. | A more personal view of quaternions was written by Joachim Lambek in 1995.
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| 35. | Because it is possible to divide quaternions, they form a division algebra.
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| 36. | The quaternion group is the smallest example of nilpotent non-abelian group.
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| 37. | The result is a skew field called the quaternions.
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| 38. | A pair of unit quaternions and can represent any rotation in 4D space.
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| 39. | The first success of quaternions was a rendering of spherical trigonometry to algebra.
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| 40. | The stabilizer of 4 points is the quaternion group.
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