Multiplication formulas in Moufang loops-Reference-Cited by-同舟云学术

Multiplication formulas in Moufang loops

Published:2016-06 Issue:04 Volume:26 Page:705-725
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Grichkov Alexander N.¹²,Zavarnitsine Andrei V.³

Affiliation:

1. Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, CEP 05508-090, São Paulo, Brasil

2. Omsk State University n.a. F.M.Dostoevskii, pr. Mira 55-A, Omsk 644077, Russia

3. Sobolev Institute of Mathematics, av. Koptyuga 4, Novosibirsk 630090, Russia

Abstract

Using groups with triality, we obtain some general multiplication formulas in Moufang loops, construct Moufang extensions of abelian groups, and describe the structure of minimal extensions for finite simple Moufang loops over abelian groups.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196716500302

Reference17 articles.

1. The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

2. A Survey of Binary Systems

3. Moufang loops of small order. I

4. Integral Cayley numbers

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