On the derived length of units in group algebra

Chaudhuri, Dishari ; Saikia, Anupam

Czechoslovak Mathematical Journal, Tome 67 (2017) no. 3, pp. 855-865

Abstract (VO)

Let $G$ be a finite group $G$, $K$ a field of characteristic $p\geq 17$ and let $U$ be the group of units in $KG$. We show that if the derived length of $U$ does not exceed $4$, then $G$ must be abelian.

Détail

DOI : 10.21136/CMJ.2017.0205-16

Classification : 16S34, 16U60
Keywords: group algebra; group of units; derived subgroup

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