Let G be a nonabelian nilpotent group and F a field of characteristic p > 2, such that the unit group 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 U(FG) that corrects the result from Lee et al. (Algebr. Represent. Theory 17, 1597–1601 2014) when G is nontorsion and G′ is a finite p-group.
On the lower bound of the derived length of the unit group of a nontorsion group algebra / Juhasz, Tibor; Lee, Gregory T.; Sehgal, Sudarshan K.; Spinelli, Ernesto. - In: ALGEBRAS AND REPRESENTATION THEORY. - ISSN 1386-923X. - 23:(2020), pp. 457-466. [10.1007/s10468-019-09855-x]
On the lower bound of the derived length of the unit group of a nontorsion group algebra
Lee, Gregory T.;Spinelli, Ernesto
2020
Abstract
Let G be a nonabelian nilpotent group and F a field of characteristic p > 2, such that the unit group 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 U(FG) that corrects the result from Lee et al. (Algebr. Represent. Theory 17, 1597–1601 2014) when G is nontorsion and G′ is a finite p-group.File | Dimensione | Formato | |
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