Citation: Wall, Charles Terence Clegg. "Quadratic forms on finite groups, and related topics." Topology 2.4 (1963): 281-298.
Web: https://www.sciencedirect.com/science/article/pii/0040938363900120
Tags: Mathematical, Abelian-anyons
This is one of the first detailed treatments of the theory of quadratic forms on abelian groups. In particular, a classification theorem is sketched.
One interesting subtelty is that quadratic forms are more complicated on abelian groups than odd groups and in particular are even more complicated on 2-groups of large order. This adds some philosophical complexity to the fact that quantum computation is typically based on Z2 (or larger 2-groups).
The theory of quadratic forms is very important for understanding abelian anyons, so this is a good reference to keep in mind.