title: Indices of coincidence isometries of the hypercubic lattice Z n.
abstract: The problem of computing the index of a coincidence isometry of the hypercubic lattice Z{n} is considered. The normal form of a rational orthogonal matrix is analyzed in detail and explicit formulas for the indices of certain coincidence isometries of Z{n} are obtained. These formulas generalize the known results for n < or = 4.
authors.affiliation: Department of Mathematical Sciences, University of Wisconsin, Milwaukee, WI 53201, USA. ymzou@uwm.edu
authors.forename: Yi Ming
authors.initials: YM
authors.lastname: Zou