6 papers
Tuple regularity and -ultrahomogeneity for finite groups
Sofia Brenner
For , we introduce the concepts of -ultrahomogeneity and -tuple regularity for finite groups. Inspired by analogous concepts in graph theory, these…
Countable ultrahomogeneous graphs on two imprimitive color classes
Sofia Brenner, Irene Heinrich
We classify the countable ultrahomogeneous 2-vertex-colored graphs in which the color classes are imprimitive, i.e., up to complementation they form disjoint unions of cliques. Thi…
Classifying group algebras in which the socle of the center is an ideal
Sofia Brenner
This paper extends the study of group algebras of finite groups in which the socle of the center is an ideal. We provide a detailed analysis of the structure of these groups. In a…
Group algebras in which the socle of the center is an ideal
Sofia Brenner, Burkhard Külshammer
Let be a field of characteristic . We study the structure of the finite groups for which the socle of the center of is an ideal in and classify the finite…
Ideals in the center of symmetric algebras
Sofia Brenner, Burkhard Külshammer
We study symmetric algebras over an algebraically closed field in which the Jacobson radical of the center of , the socle of the center of or the Reynolds ideal of $…
On the Malle-Navarro Conjecture for 2- and 3-blocks of general linear and unitary groups
Sofia Brenner
The Malle-Navarro conjecture relates central block theoretic invariants in two inequalities. In this paper, we prove the conjecture for the 2-blocks and the unipotent 3-blocks of t…