Algebras and Representation Theory ( IF 0.541 ) Pub Date : 2019-01-17 , DOI: 10.1007/s10468-019-09855-x
Tibor Juhász, Gregory T. Lee, Sudarshan K. Sehgal, Ernesto Spinelli

Let G be a nonabelian nilpotent group and F a field of characteristic p > 2, such that the unit group $$\mathcal {U}(FG)$$ of the group ring FG is solvable and G contains a p-element. Here we provide a lower bound for the derived length of $$\mathcal {U}(FG)$$ that corrects the result from Lee et al. (Algebr. Represent. Theory 17, 1597–1601 2014) when G is nontorsion and $$G^{\prime }$$ is a finite p-group.

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