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A180042 The possible orders of cyclic groups that can be realized as holonomy groups of crystallographic groups in dimension 7. 0
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 24, 30 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

In Lutowski's article the CARAT system is used to calculate a list of all isomorphism classes of 7-dimensional Bieberbach groups with cyclic holonomy group. The final list of 316 groups is presented on the undated link by the same author.

Sorted union of first floor(7/2)+1 = 4 rows of A080738. - Andrey Zabolotskiy, Jul 10 2017

LINKS

Table of n, a(n) for n=1..17.

H. Hiller, The Crystallographic Restriction in Higher Dimensions, Acta Cryst. (1985), A41, 541-544.

Rafal Lutowski, Seven dimensional flat manifolds with a cyclic holonomy group.

R. Lutowski, A list of 7-dimensional Bieberbach groups with cyclic holonomy, Jan 13, 2011.

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

Sequence in context: A030477 A178859 A165412 * A096868 A266351 A206718

Adjacent sequences:  A180039 A180040 A180041 * A180043 A180044 A180045

KEYWORD

nonn,fini,full

AUTHOR

Jonathan Vos Post, Jan 14 2011

STATUS

approved

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Last modified August 14 13:46 EDT 2020. Contains 336481 sequences. (Running on oeis4.)