In a previous paper [V. Bovdi, E. Spinelli:\emph{Modular group algebras with maximal Lie nilpotency indices}, Publ. Math. Debrecen, {\bf{65}} (2004), 243-252.], the authors have classified Lie nilpotent group algebras $KG$ whose Lie nilpotency index is maximal. In the present note, they classify those whose upper Lie nilpotency index is almost maximal, namely it assumes the next highest possible value different from $|G^\prime|+1$.
Modular group algebras with almost maximal Lienilpotency indices
SPINELLI, Ernesto
2006-01-01
Abstract
In a previous paper [V. Bovdi, E. Spinelli:\emph{Modular group algebras with maximal Lie nilpotency indices}, Publ. Math. Debrecen, {\bf{65}} (2004), 243-252.], the authors have classified Lie nilpotent group algebras $KG$ whose Lie nilpotency index is maximal. In the present note, they classify those whose upper Lie nilpotency index is almost maximal, namely it assumes the next highest possible value different from $|G^\prime|+1$.File in questo prodotto:
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