Group algebras with almost maximal lie nilpotency index

Abstract

Let KG be a non-commutative Lie nilpotent group algebra of a group G over a field K. It is known that the Lie nilpotency index of KG is at most {pipe}G′{pipe} + 1, where {pipe}G′{pipe} is the order of the commutator subgroup of G. In [4] the groups G for which this index is maximal were determined. Here we list the G's for which it assumes the next highest possible value. © 2005 Springer