Moe Tabei

Integral units of the Promislow group at small radius: dichotomy, counting, towers, and compactness

Let P be the Promislow (Hantzsche-Wendt) group. The unit conjecture fails for K[P] over every field of positive characteristic and over C, but is open over Z -- Higman's original question. Radius <= 3 is closed over every field by Craven-Pappas, and the known counterexamples begi...