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On the derived length of units in group algebra

Dishari Chaudhuri; Anupam Saikia — 2017

Czechoslovak Mathematical Journal

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

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