Indices of coincidence isometries of the hypercubic lattice {\bb Z}^{n}

Zou, Y.M.

doi:10.1107/S010876730603604X

Indices of coincidence isometries of the hypercubic lattice ${\bb Z}^{n}$

The problem of computing the index of a coincidence isometry of the hypercubic lattice ${\bb Z}^{n}$ 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 ${\bb Z}^{n}$ are obtained. These formulas generalize the known results for n ≤ 4.

Keywords: coincidence indices; hypercubic lattice.

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