Computing the negative $K$-theory of finite groups of order $\le 100$

Abstract

We outline how the group $K_{-1}(\mathbb{Z}[G])$ for a finite group $G$ can be computed using the computer language $GAP$ and compile a table of all groups $G$ of order less than $100$ that have torsion in $K_{-1}(\mathbb{Z}[G])$.