Modular group algebras with almost maximal Lie nilpotency indices. I
Rings and Algebras
2007-05-23 v1
Abstract
Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that, if KG is Lie nilpotent, then its upper (or lower) Lie nilpotency index is at most |G'|+1, where |G'| is the order of the commutator subgroup. The authors have previously determined the groups G for which this index is maximal and here they determine the G for which it is `almost maximal', that is the next highest possible value, namely |G'|-p+2.
Cite
@article{arxiv.math/0507261,
title = {Modular group algebras with almost maximal Lie nilpotency indices. I},
author = {Victor Bovdi and Tibor Juhasz and Ernesto Spinelli},
journal= {arXiv preprint arXiv:math/0507261},
year = {2007}
}