Bódi, Viktor and Juhász, Tibor and Spinelli, Ernesto
(2006)
*Modular Group Algebras with Almost Maximal Lie Nilpotency Indices.*
Algebras and Representation Theory, 9 (3).
pp. 259-266.
ISSN 1386-923X (print), 1572-9079 (online)

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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 ( and lower) Lie nilpotency index is at most vertical bar G'vertical bar + 1, where vertical bar G'vertical bar is the order of the commutator subgroup. The authors previously determined those groups G for which this index is maximal and here they determine the groups G for which it is 'almost maximal', that is, it takes the next highest possible value, namely vertical bar G'vertical bar - p + 2.

Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |

Depositing User: | Erika Bilicsi |

Date Deposited: | 19 Nov 2012 09:37 |

Last Modified: | 19 Nov 2012 09:37 |

URI: | http://real.mtak.hu/id/eprint/3398 |

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