English

Hensel lifting algorithms for quadratic forms

Number Theory 2024-04-09 v2 Algebraic Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.2303.11981,
  title  = {Hensel lifting algorithms for quadratic forms},
  author = {Simon Brandhorst and Davide Cesare Veniani},
  journal= {arXiv preprint arXiv:2303.11981},
  year   = {2024}
}

Comments

v2: minor changes, improved exposition. 29 pages

R2 v1 2026-06-28T09:26:42.859Z