Moufang loops that are almost groups

被引：3

作者：

Chee, Wing Loon ^{[1
]}

Rajah, Andrew ^{[1
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, Usm 11800, Penang, Malaysia

来源：

JOURNAL OF GROUP THEORY | 2012年 / 15卷 / 01期

关键词：

ORDER;

D O I：

10.1515/JGT.2011.100

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that Moufang loops are closely related to groups as they have many properties in common. For instance, they both have an inverse for each element and satisfy Lagrange's theorem. In this paper, we study the properties of a class of Moufang loops which are not groups, but all their proper subloops and proper quotient loops are groups.

引用

页码：137 / 149

页数：13

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