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

Autor:	Brenner, Sofia, Külshammer, Burkhard
Rok vydání:	2022
Předmět:	Mathematics - Group Theory Mathematics - Representation Theory 20C05 (Primary) 20C20 16S34 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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 $FG$ is an ideal in $FG$ and classify the finite $p$-groups $G$ with this property. Moreover, we give an explicit description of the finite groups $G$ for which the Reynolds ideal of $FG$ is an ideal in $FG$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.01601 Zobrazit plný text záznamu View this record from Arxiv