Automorphisms of commutative Moufang loops satisfying the minimality condition

被引：1

作者：

Lupashko, N. T. ^{[1
]}

Sandu, N. I. ^{[1
]}

机构：

[1] Tiraspol State Univ, Kishinev, Moldova

来源：

MATHEMATICAL NOTES | 2012年 / 91卷 / 3-4期

关键词：

commutative Moufang loop; automorphism group; Abelian group; subloop; associator; quasicyclic group; multiplicative group;

D O I：

10.1134/S000143461203008X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider commutative Moufang loops Q with multiplicative group M satisfying the minimality condition for its subloops. Such loops, as well as the class of such loops, are characterized by various subgroups of automorphism groups Aut Q and Aut M. We study the structure of the groups Aut Q and Aut M and prove that these groups have matrix representations.

引用

页码：384 / 398

页数：15

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