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A004028 Number of geometric n-dimensional crystal classes.
(Formerly M1965)
8

%I M1965

%S 1,2,10,32,227,955,7103

%N Number of geometric n-dimensional crystal classes.

%C Number of Q-classes of finite subgroups of GL_n(Z) up to conjugacy.

%C Number of n-dimensional crystallographic point groups (not counting enantiomorphs). - _Andrey Zabolotskiy_, Jul 08 2017

%D H. Brown, R. Bülow, J. Neubüser, H. Wondratschek and H. Zassenhaus, Crystallographic Groups of Four-Dimensional Space. Wiley, NY, 1978, p. 52.

%D P. Engel, "Geometric crystallography," in P. M. Gruber and J. M. Wills, editors, Handbook of Convex Geometry. North-Holland, Amsterdam, Vol. B, pp. 989-1041.

%D T. Janssen, Crystallographic Groups. North-Holland, Amsterdam, 1973, p. 73.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H W. Plesken and T. Schulz, <a href="http://wwwb.math.rwth-aachen.de/carat/">CARAT Homepage</a>

%H W. Plesken and T. Schulz, <a href="/A006226/a006226.pdf">CARAT Homepage</a> [Cached copy in pdf format (without subsidiary pages), with permission]

%H W. Plesken and T. Schulz, <a href="/A006226/a006226_1.pdf">Introduction to CARAT</a> [Cached copy in pdf format (without subsidiary pages), with permission]

%H W. Plesken and T. Schulz, <a href="http://projecteuclid.org/euclid.em/1045604675">Counting crystallographic groups in low dimensions</a>, Experimental Mathematics, 9 (No. 3, 2000), 407-411.

%H E. S. Rosenthal & N. J. A. Sloane, <a href="/A004028/a004028.pdf">Correspondence, 1975</a>

%Y Cf. A004027, A004029.

%K nonn,hard,nice,more

%O 0,2

%A _N. J. A. Sloane_

%E a(6) corrected from CARAT page by _D. S. McNeil_, Jan 02 2011

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Last modified May 18 19:58 EDT 2021. Contains 344002 sequences. (Running on oeis4.)