Modular group algebras with almost maximal Lie nilpotency indices. I

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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.

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Rings and Algebras, 16S34, 17B30

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http://salesiana.dossiersoluciones.com/handle/123456789/75767

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507261
 http://arxiv.org/abs/math/0507261

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arXiv