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Sphere Packings, Lattices and Groups John Horton Conway, Neil J. A. Sloane
Publisher: Springer

IMAGE- Rota's review of 'Sphere Packings, Lattices and Groups'-- in. C is a group and {n + mi, for all n,m, in Z} is a subgroup and you take the quotient group .. Now one can see that a torus can be made into a group as follows: take the complex plane and set equal to zero all points which are linear integral combinations of two vectors with different directions, say 1 and i. Saturday, 27 April 2013 at 10:35. The paper 'Notes on sphere packings' appeared in 1967 in the Canad. 290, Springer, New York, NY, USA, 3rd edition, 1999. More neat applications of theta functions. See, too, in the Conway-Sloane book, the Galois tesseract … and, in this journal, Geometry for Jews and The Deceivers , by Bester. Sloane, Sphere Packings, Lattices and Groups, vol. Close Sorry, an error occurred while adding your rating. Close Your rating was successfully added. Property that unit balls around the lattice points touch, each one of them having exactly 196560 neighbors. Conway andSloane, Sphere Packings, Lattices and Groups, Springer, 1998. All homogeneous sphere packings and all interpenetrating layers of spheres were derived that can be realized in the ten orthorhombic trivariant lattice complexes belonging to the space groups of crystal class mmm without mirror symmetry. Altogether, the lattice complexes with trigonal characteristic space group (with 0, 1, 2 or 3 degrees of freedom) give rise to 225 types of sphere packing. Of interpenetrating sphere packings and one type of interpenetrating layers of spheres. I have been working with issues somewhat tangential to the monster group, and more with the modular forms which are related to the lattice or sphere packing of E_8 and the Leech lattice ?_{24}. The paper [2] contains a classification of the Eisenstein lattices for , , and . Eisenstein lattices (or the more general theta lattices introduced in [1]) are of interest in the theory of modular forms, as their theta series is a modular form of weight for the full Hermitian modular group with respect to (cf. Sphere Packings, Lattices and Groups (Grundlehren der It is easy to make reservations for the Stratosphere Resort Hotel when you book online. On page 328 of Ernst Witt's Collected Papers Ina Kersten recalls that Witt gave a colloquium talk on January 27, 1970 in Hamburg entitled "Gitter und Mathieu-Gruppen" (Lattices and Mathieu-groups).