Laith Rastanawi - cp's OEIS frontend

User: Laith Rastanawi

Laith Rastanawi has authored 2 sequences.

A354046 Number of 4-dimensional chiral point groups of order n.

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

Laith Rastanawi and Günter Rote, May 16 2022

nonn

In other words, the number of (finite) subgroups of order n of the special orthogonal group SO(4).

John H. Conway and Derek A. Smith, On Quaternions and Octonions, CRC Press, 2003.
Patrick Du Val, Homographies, Quaternions and Rotations. Clarendon Press, 1964.

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.

Cf. A353341.

A353341 Number of 4-dimensional point groups of order n.

Original entry on oeis.org

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

Laith Rastanawi and Günter Rote, May 16 2022

nonn

In other words, the number of (finite) subgroups of order n of the orthogonal group O(4).

John H. Conway and Derek A. Smith, On Quaternions and Octonions, CRC Press, 2003.
Patrick Du Val, Homographies, Quaternions and Rotations. Clarendon Press, 1964.

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.

Cf. A354046.

cp's OEIS Frontend

User: Laith Rastanawi

A354046 Number of 4-dimensional chiral point groups of order n.

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