Lie Nilpotency Indices of Modular Group Algebras

被引：10

作者：

Bovdi, V. ^{[1
,2
]}

Srivastava, J. B. ^{[3
]}

机构：

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

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

[3] Indian Inst Technol, Dept Math, New Delhi 110016, India

来源：

ALGEBRA COLLOQUIUM | 2010年 / 17卷 / 01期

关键词：

group algebras; Lie nilpotency index; Lie dimension subgroups; GROUP-RINGS; UNITS;

D O I：

10.1142/S1005386710000040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 tipper (or 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 class of groups G for which these indices are maximal or almost maximal has already been determined. Here we determine G for which tipper (or lower) Lie nilpotency index is the next highest possible.

引用

页码：17 / 26

页数：10

共 18 条

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