Hermite normal form

This handout accompanied my talk in the Spring 2007 seminar on ''Fermat's Last Theorem'' held by Michael Joyce at Tulane University.

Abstract

We will present the Hermite normal form for matrices with integral entries. All concepts, however, lift easily to the case of general principal ideal domains instead of the integers. Finally, we apply our result to bases of lattices.

Contents

• Introducing the Hermite Normal Form
• Application to Lattices

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