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Lie nilpotency indices of modular group algebras

V. A. Bovdi·J. B. Srivastava
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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.

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BibTeXRIS

V. A. Bovdi, J. B. Srivastava. 2006-12-28. Lie nilpotency indices of modular group algebras. https://arxiv.org/abs/math/0612841

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