Indices of Coincidence Isometries of the Hyper Cubic Lattice $Z^n$

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The problem of computing the index of a coincidence isometry of the hyper cubic lattice $\mathbb{Z}^{n}$ is considered. The normal form of a rational orthogonal matrix is analyzed in detail, and explicit formulas for the index of certain coincidence isometries of $\mathbb{Z}^{n}$ are obtained. These formulas generalize the known results for $n\le 4$.
AMS-Latex, preprint 10 pages

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Group Theory, Metric Geometry, 20H15; 51F15

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http://salesiana.dossiersoluciones.com/handle/123456789/115610

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608732
 http://arxiv.org/abs/math/0608732

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arXiv