A classification of exceptional components in group algebras over abelian number fields

Andreas Bächle, Mauricio Caicedo, Inneke Van Gelder

When considering the unit group of ${\mathcal{O}}_{F}G$ (${\mathcal{O}}_F$ the ring of integers of an abelian number field $F$ and a finite group $G$) certain components in the Wedderbu…