4 citations · 4 across the 5 of their papers we have counts for
6 papers
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 ( the ring of integers of an abelian number field and a finite group ) certain components in the Wedderbu…
On idempotents and the number of simple components of semisimple group algebra
Gabriela Olteanu, Inneke Van Gelder
We describe the primitive central idempotents of the group algebra over a number field of finite monomial groups. We give also a description of the Wedderburn decomposition of the…
Describing units of integral group rings up to commensurability
Florian Eisele, Ann Kiefer, Inneke Van Gelder
We restrict the type of -matrices which can occur as simple components in the Wedderburn decomposition of the rational group algebra of a finite group. This results in…
Construction of minimal non-abelian left group codes
Gabriela Olteanu, Inneke Van Gelder
Algorithms to construct minimal left group codes are provided. These are based on results describing a complete set of orthogonal primitive idempotents in each Wedderburn component…
Central units of integral group rings
Eric Jespers, Gabriela Olteanu, Ángel del Río +1
We give an explicit description for a basis of a subgroup of finite index in the group of central units of the integral group ring of a finite abelian-by-supersolvable group…
Writing units of integral group rings of finite abelian groups as a product of Bass units
Eric Jespers, Ángel del Río, Inneke Van Gelder
We give a constructive proof of the theorem of Bass and Milnor saying that if is a finite abelian group then the Bass units of the integral group ring generate a subgrou…