title: A finite group that derives all the 14 Bravais lattices as its subgroups
abstract: A finite group was discovered that includes all the types of Bravais lattice as its subgroups. It is based on a new representation of affine transformation of a primitive cell. Its elements are represented by 6 x 6 matrices whose components are complex in general. The order of the group is 2,799,360.
authors.affiliation: Department of Physics and Earth Sciences, University of the Ryukyus, Nishihara, Okinawa, Japan. hosoya@sci.u-ryukyu.ac.jp
authors.initials: M
authors.lastname: Hosoya