Bódi, Viktor
(2007)
*Modular group algebras with almost maximal Lie nilpotency indices II.*
Mathematica Japonica, 65 (2).
pp. 267-271.
ISSN 0025-5513

PDF
1037285.pdf Restricted to Registered users only Download (92Kb) | Request a copy |

## 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. Previously we determined the groups G for which the upper/lower nilpotency index is maximal or the upper nilpotency index is ‘almost maximal’ (that is, of the next highest possible value, namely |G'�| − p + 2). Here we determine the groups for which the lower nilpotency index is ‘almost maximal’.

Item Type: | Article |
---|---|

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 10:08 |

Last Modified: | 19 Nov 2012 10:08 |

URI: | http://real.mtak.hu/id/eprint/3401 |

### Actions (login required)

View Item |