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.
Group algebras with almost maximal lie nilpotency index / Spinelli, Ernesto. - In: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. - ISSN 0009-725X. - STAMPA. - 54:3(2005), pp. 352-358. [10.1007/bf02874942]
Group algebras with almost maximal lie nilpotency index
SPINELLI, ERNESTO
2005
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.File allegati a questo prodotto
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