ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS

被引：49

作者：

Bosko, Lindsey R. ^{[1
]}

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2010年 / 20卷 / 06期

关键词：

Schur multiplier; maximal class; filiform; P-GROUPS; COVERS; ORDER;

D O I：

10.1142/S0218196710005881

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Lie algebra analogue to the Schur multiplier has been investigated in a number of recent articles. We consider the multipliers of Lie algebras of maximal class, classifying these algebras with a certain additional property. The classification leads to a conjecture about a bound on the dimension of the multiplier for each of these algebras and also for p-groups of maximal class. The conjectures are then shown to hold.

引用

页码：807 / 821

页数：15

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