GROUPS WITH TRIALITY

被引：14

作者：

Grishkov, Alexander N. ^{[1
,2
]}

Zavarnitsine, Andrei V. ^{[1
,3
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, Caixa Postal 66281, BR-05311970 Sao Paulo, SP, Brazil

[2] Omsk State Univ, Omsk 644077, Russia

[3] Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Groups with triality; Moufang loops;

D O I：

10.1142/S021949880600182X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Groups with triality, which arose in the papers of Glauberman and Doro, are naturally connected with Moufang loops. In this paper, we describe all possible, in a sense, groups with triality associated with a given Moufang loop. We also introduce several universal groups with triality and discuss their properties.

引用

页码：441 / 463

页数：23

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