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

下载

页码：384 / 398

页数：15

共 50 条

[1] Automorphisms of commutative Moufang loops satisfying the minimality condition
N. T. Lupashko
N. I. Sandu
Mathematical Notes, 2012, 91 : 384 - 398
[2] On automorphisms of commutative Moufang loops
Lupasco, N. T.
DISCRETE MATHEMATICS AND APPLICATIONS, 2011, 21 (03): : 309 - 316
[3] Algebraic commutative Moufang loops
Nagy, GP
FORUM MATHEMATICUM, 2003, 15 (01) : 37 - 62
[4] Splitting automorphisms and Moufang loops
Nagy, GP
Valsecchi, M
GLASGOW MATHEMATICAL JOURNAL, 2004, 46 : 305 - 310
[5] PSEUDO-AUTOMORPHISMS AND MOUFANG LOOPS
BRUCK, RH
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 3 (01) : 66 - 72
[6] CENTRAL NILPOTENCY OF COMMUTATIVE MOUFANG LOOPS
BRUCK, RH
SLABY, HT
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 60 (01) : 61 - 61
[7] Minimally Nonassociative Commutative Moufang Loops
Orin Chein
Edgar G. Goodaire
Results in Mathematics, 2001, 39 (1-2) : 11 - 17
[8] The lattice of quasivarieties of commutative Moufang loops
Ursu V.I.
Algebra and Logic, 1998, 37 (6) : 399 - 410
[9] Commutative Moufang loops and alternative algebras
Grishkov, Alexander N.
Shestakov, Ivan P.
JOURNAL OF ALGEBRA, 2011, 333 (01) : 1 - 13
[10] IDENTITIES AND RELATIONS IN COMMUTATIVE MOUFANG LOOPS
EVANS, T
JOURNAL OF ALGEBRA, 1974, 31 (03) : 508 - 513

← 1 2 3 4 5 →