Moufang loops of order 2m

被引：0

作者：

Rajah, A ^{[1
]}

Jamal, E ^{[1
]}

机构：

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

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 1999年 / 55卷 / 1-2期

关键词：

Moufang loop; diassociative; subloop; order; normal subloop;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L be a Moufang loop of order 2m, (2, m) = 1. Then F. LEONG and P. E. TEH have proven in [3] that there exists a normal subloop M of order m in L. Furthermore, they have shown that if \M\ = p(2), then L is a group. We extend this result with M which is an abelian group of order p(1)(2)...p(n)(2), where p(1),...,p(n) are distinct primes and also M = C-p x C(p)n.

引用

页码：47 / 51

页数：5

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