Geodesic
On the derived length of units in group algebra
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 3, pp. 855-865.

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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.
DOI : 10.21136/CMJ.2017.0205-16
Classification : 16S34, 16U60
Keywords: group algebra; group of units; derived subgroup 
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Chaudhuri, Dishari; Saikia, Anupam. On the derived length of units in group algebra. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 3, pp. 855-865. doi : 10.21136/CMJ.2017.0205-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0205-16/

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