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

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dc.creatorZou, Yi Ming
dc.date2006-08-29
dc.date.accessioned2026-07-07T07:22:18Z
dc.date.available2026-07-07T07:22:18Z
dc.descriptionThe 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 $n\le 4$.
dc.descriptionAMS-Latex, preprint 10 pages
dc.identifierhttps://arxiv.org/abs/math/0608732
dc.identifierhttp://arxiv.org/abs/math/0608732
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115610
dc.subjectGroup Theory
dc.subjectMetric Geometry
dc.subject20H15; 51F15
dc.titleIndices of Coincidence Isometries of the Hyper Cubic Lattice $Z^n$
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