3 papers
math.CO2023
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…
math.GR2022
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…
math.RT2019
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…