Sofia Brenner

activity

20192023

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3 papers · 1 filter

math.GR2023

Tuple regularity and $k$ -ultrahomogeneity for finite groups

Sofia Brenner

For $k, ℓ \in N$ , we introduce the concepts of $k$ -ultrahomogeneity and $ℓ$ -tuple regularity for finite groups. Inspired by analogous concepts in graph theory, these…

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.GR2023

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…

Tuple regularity and k-ultrahomogeneity for finite groups

Countable ultrahomogeneous graphs on two imprimitive color classes

Classifying group algebras in which the socle of the center is an ideal

Tuple regularity and $k$ -ultrahomogeneity for finite groups