Lie nilpotency indices of modular group algebras
Rings and Algebras
2007-05-23 v1 Representation Theory
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 class of groups G for which these indices are maximal or almost maximal have already been determined. Here we determine G for which upper (or lower) Lie nilpotency index is the next highest possible.
Cite
@article{arxiv.math/0612841,
title = {Lie nilpotency indices of modular group algebras},
author = {V. A. Bovdi and J. B. Srivastava},
journal= {arXiv preprint arXiv:math/0612841},
year = {2007}
}
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9 pages