Sofia Brenner

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20192023

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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.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…

math.GR2022

Group algebras in which the socle of the center is an ideal

Sofia Brenner, Burkhard Külshammer

Let $F$ be a field of characteristic $p > 0$ . We study the structure of the finite groups $G$ for which the socle of the center of $F G$ is an ideal in $F G$ and classify the finite…

Tuple regularity and k-ultrahomogeneity for finite groups

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

Group algebras in which the socle of the center is an ideal

Tuple regularity and $k$ -ultrahomogeneity for finite groups