A059104 Number of Bieberbach groups in dimension n: torsion-free crystallographic groups.

1, 2, 10, 74, 1060, 38746

Offset: 1

Author

Tilman Schulz (tilman(AT)momo.math.rwth-aachen.de), Feb 13 2001

Keywords

• nonn
• hard
• nice
• more

References

• Charlap, Leonard S., Bieberbach Groups and Flat Manifolds. Universitext. Springer-Verlag, New York, 1986. xiv+242 pp. ISBN: 0-387-96395-2 MR0862114 (88j:57042). See p. 6.
• C. Cid, T. Schulz: Computation of Five and Six Dimensional Bieberbach Groups, Experimental Mathematics 10:1 (2001), 109-115
• Manuel Caroli, Monique Teillaud. Delaunay triangulations of closed Euclidean dorbifolds. Discrete and Computational Geometry, Springer Verlag, 2016, 55 (4), pp.827-853. 10.1007/s00454-016-9782-6, hal-01294409; https://hal.inria.fr/hal-01294409/document

Links

• W. Plesken and T. Schulz, The CARAT Homepage
• W. Plesken and T. Schulz, CARAT Homepage [Cached copy in pdf format (without subsidiary pages), with permission]
• W. Plesken and T. Schulz, Introduction to CARAT [Cached copy in pdf format (without subsidiary pages), with permission]

Crossrefs

Cf. A004027, A004028, A004029, A059105.