Hensel lifting algorithms for quadratic forms

We provide an algorithm to compute generators of the orthogonal group of the discriminant group associated to an integral quadratic lattice over the integers. We give a closed formula for its order.

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Veröffentlicht in:arXiv.org 2023-03
Hauptverfasser: Brandhorst, Simon, Davide Cesare Veniani
Format: Artikel
Sprache:eng
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Zusammenfassung:We provide an algorithm to compute generators of the orthogonal group of the discriminant group associated to an integral quadratic lattice over the integers. We give a closed formula for its order.
ISSN:2331-8422
DOI:10.48550/arxiv.2303.11981