Determination of Quadratic Lattices by Local Structure and Sublattices of Codimension One

For definite quadratic lattices over the rings of integers of algebraic number fields, it is shown that lattices are determined up to isometry by their local structure and sublattices of codimension 1. In particular, a theorem of Yoshiyuki Kitaoka for $\mathbb{Z}$-lattices is generalized to definite lattices over algebraic number fields.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Campus Only Dissertation

Discipline thesis:degree_discipline

Mathematics

Year

2015

Author dc:creator

• Meyer, Nicolas David

Contributors dc:contributor

• Earnest, Andrew
• Pericak-Spector, Kathleen

• Algebraic Number Theory
• Quadratic Forms

Repository record dc:identifier

https://opensiuc.lib.siu.edu/dissertations/1026

OAI identifier oai:identifier

oai:opensiuc.lib.siu.edu:dissertations-2030