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

共 50 条

[41] AN EXTENSION THEORY FOR MOUFANG LOOPS
BRUCK, RH
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1947, 53 (01) : 47 - 47
[42] Nilpotent Moufang unit loops
Goodaire, EG
Milies, CP
JOURNAL OF ALGEBRA, 1997, 190 (01) : 88 - 99
[43] On the structure of automorphic Moufang loops
Grishkov, Alexander
Rasskazova, Marina
Sabinina, Liudmila
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, 88 (3-4): : 261 - 267
[44] BURNSIDE PROBLEM FOR MOUFANG LOOPS
PFLUGFEL.HO
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A89 - A89
[45] A generalization of Moufang and Steiner loops
Kinyon, MK
Kunen, K
Phillips, JD
ALGEBRA UNIVERSALIS, 2002, 48 (01) : 81 - 101
[46] Note on the possible number of operators of order 2 in a group of order 2m
Miller, GA
ANNALS OF MATHEMATICS, 1905, 7 : 55 - 60
[47] Construction of a family of Moufang loops
Curtis, Robert T.
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 142 : 233 - 237
[48] A Generalization of Moufang and Steiner Loops
Michael K. Kinyon
Kenneth Kunen
J.D. Phillips
algebra universalis, 2002, 48 : 81 - 101
[49] Splitting automorphisms and Moufang loops
Nagy, GP
Valsecchi, M
GLASGOW MATHEMATICAL JOURNAL, 2004, 46 : 305 - 310
[50] On automorphisms of commutative Moufang loops
Lupasco, N. T.
DISCRETE MATHEMATICS AND APPLICATIONS, 2011, 21 (03): : 309 - 316

← 1 2 3 4 5 →