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math.GR2022★ 1 cited
On ideals in group algebras: an uncertainty principle and the Schur product
Martino Borello, Wolfgang Willems, Giovanni Zini
In this paper we investigate some properties of ideals in group algebras of finite groups over fields. First, we highlight an important link between their dimension, their minimal…
math.GR2012
On the dimensions of PIM's
Conchita Martínez-Pérez, Wolfgang Willems
We discuss the structure of finite groups for which the projective indecomposable modules have special given dimensions. In particular, we prove the converse of Fong's dimension fo…
math.GR2004
A local conjecture on Brauer character degrees of finite groups
Thorsten Holm, Wolfgang Willems
Recently, a new conjecture on the degrees of the irreducible Brauer characters of a finite group was presented by the second author. In this paper we propose a 'local' version of t…