Modular group algebras with almost maximal Lie nilpotency indices

被引：12

作者：

Bovdi, Victor

Juhasz, Tibor

Spinelli, Ernesto

机构：

[1] Univ Debrecen, Inst Math, H-4010 Debrecen, Hungary

[2] Coll Nyiregyhaza, Inst Math & Informat, H-4410 Nyiregyhaza, Hungary

[3] Univ Lecce, Dipartimento Matemat E De Giorgi, I-73100 Lecce, Italy

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2006年 / 9卷 / 03期

基金：

匈牙利科学研究基金会;

关键词：

group algebras; Lie nilpotency indices; dimensional subgroups;

D O I：

10.1007/s10468-006-9022-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：259 / 266

页数：8