Group algebras with centrally metabelian unit groups

Autores: Meena Sahai
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 40, Nº 2, 1996, págs. 443-456
Idioma: inglés
DOI: 10.5565/publmat_40296_14
Títulos paralelos:
- Algebras de grupo con grupos unitarios centrales metabelianos
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Resumen
- Given a field $K$ of characteristic $p>2$ and a finite group $G$, necessary and sufficient conditions for the unit group $U(KG)$ of the group algebra $KG$ to be centrally metabelian are obtained. It is observed that $U(KG)$ is centrally metabelian if and only if $KG$ is Lie centrally metabelian.