A353341 Number of 4-dimensional point groups of order n.
1, 4, 3, 11, 4, 14, 5, 29, 8, 18, 7, 41, 8, 22, 14, 56, 10, 37, 11, 51, 18, 30, 13, 100, 17, 34, 22, 60, 16, 64, 17, 98, 26, 42, 26, 101, 20, 46, 30, 112, 22, 80, 23, 80, 42, 54, 25, 189, 30, 73, 38, 91, 28, 96, 38, 133, 42, 66, 31, 170, 32, 70, 55, 167, 44
Offset: 1
Keywords
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.
- W. Threlfall and H. Seifert, Topologische Untersuchung der Diskontinuitätsbereiche endlicher Bewegungsgruppen des dreidimensionalen sphärischen Raumes, Math. Annalen, 104:1-70, 1931.
- W. Threlfall and H. Seifert, Topologische Untersuchung der Diskontinuitätsbereiche endlicher Bewegungsgruppen des dreidimensionalen sphärischen Raumes (Schluß), Math. Annalen, 107:543-586, 1933.
Crossrefs
Cf. A354046.
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