A classification of exceptional components in group algebras over abelian number fields Vrije Universiteit Brussel
When considering the unit group of OFG (OF the ring of integers of an abelian number field F and a finite group G) certain components in the Wedderburn decomposition of FG cause problems for known generic constructions of units; these components are called exceptional. Exceptional components are divided into two types: type 1 is division rings, type 2 is 2 × 2-matrix rings. For exceptional components of type 1 we provide infinite classes of ...