The Conway–Sloane calculus for 2-adic lattices

Daniel Allcock; Itamar Gal; Alice Mark

doi:10.4171/lem/66-1/2-2

JournalslemVol. 66, No. 1/2pp. 5–31

The Conway–Sloane calculus for 2-adic lattices

Daniel Allcock
University of Texas at Austin, USA
- MathSciNet
- zbMATH Open
Itamar Gal
University of Texas at Austin, USA
- MathSciNet
- zbMATH Open
Alice Mark
Vanderbilt University, Nashville, USA
- MathSciNet
- zbMATH Open

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Abstract

We motivate and explain the system introduced by Conway and Sloane for working with quadratic forms over the 2-adic integers, and prove its validity. Their system is far better for actual calculations than earlier methods, and has been used for many years, but no proof has been published before now.

Cite this article

Daniel Allcock, Itamar Gal, Alice Mark, The Conway–Sloane calculus for 2-adic lattices. Enseign. Math. 66 (2020), no. 1/2, pp. 5–31

DOI 10.4171/LEM/66-1/2-2