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URL: https://oeis.org/A354046

⇱ A354046 - OEIS

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A354046
Number of 4-dimensional chiral point groups of order n.
2
1, 2, 3, 6, 4, 10, 5, 17, 8, 14, 7, 27, 8, 18, 14, 37, 10, 31, 11, 36, 18, 26, 13, 71, 17, 30, 22, 46, 16, 56, 17, 73, 26, 38, 26, 78, 20, 42, 30, 86, 22, 72, 23, 66, 42, 50, 25, 147, 30, 67, 38, 76, 28, 88, 38, 108, 42, 62, 31, 142, 32, 66, 55, 134, 44
OFFSET
1,2
COMMENTS
In other words, the number of (finite) subgroups of order n of the special orthogonal group SO(4).
REFERENCES
John H. Conway and Derek A. Smith, On Quaternions and Octonions, CRC Press, 2003.
Patrick Du Val, Homographies, Quaternions and Rotations. Clarendon Press, 1964.
LINKS
Laith Rastanawi and Günter Rote, Table of n, a(n) for n = 1..10000
Edouard Goursat, Sur les substitutions orthogonales et les divisions régulières de l'espace, Annales scientifiques de l'E.N.S. 3e série, 6:9-102, 1889.
A. C. Hurley, Finite rotation groups and crystal classes in four dimensions, Mathematical Proceedings of the Cambridge Philosophical Society, 47(4):650-661, 1951.
Laith Rastanawi and Günter Rote, Towards a Geometric Understanding of the 4-Dimensional Point Groups, arXiv preprint arXiv:2205.04965 [math.MG], 2022.
Laith Rastanawi and Günter Rote, Sage code used to generate the sequence.
CROSSREFS
Cf. A353341.
Sequence in context: A363444 A194357 A165783 * A368275 A289272 A073318
KEYWORD
nonn
AUTHOR
Laith Rastanawi and Günter Rote, May 16 2022
STATUS
approved