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.
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页码：441 / 463
页数：23
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