Inneke Van Gelder

Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents

We provide an explicit construction for a complete set of orthogonal primitive idempotents of finite group algebras over nilpotent groups. Furthermore, we give a complete set of matrix units in each simple epimorphic image of a finite group algebra of a nilpotent group.

Writing units of integral group rings of finite abelian groups as a product of Bass units

We give a constructive proof of the theorem of Bass and Milnor saying that if

Construction of minimal non-abelian left group codes

G

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

is a finite abelian group then the Bass units of the integral group ring

Group rings of finite strongly monomial groups: Central units and primitive idempotents☆

\Z G

Central units of integral group rings

generate a subgroup of finite index in its units group

Describing units of integral group rings up to commensurability

\U(\Z G)

On Idempotents and the Number of Simple Components of Semisimple Group Algebras

. Our proof provides algorithms to represent some units that contribute to only one simple component of

A classification of finite groups with exceptional components in their group algebras over abelian number fields

\Q G

Algorithmic developments for units in integral group rings

and generate a subgroup of finite index in