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.