GROUPS WITH TRIALITY-Reference-Cited by-同舟云学术

GROUPS WITH TRIALITY

Published:2006-08 Issue:04 Volume:05 Page:441-463
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

GRISHKOV ALEXANDER N.¹²,ZAVARNITSINE ANDREI V.³¹

Affiliation:

1. Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo-SP, 05311-970, Brasil

2. Omsk State University, pr. Mira 55-a, 644077, Russia

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

Abstract

Groups with triality, which arose in the papers of Glauberman and Doro, are naturally connected with Moufang loops. In this paper, we describe all possible, in a sense, groups with triality associated with a given Moufang loop. We also introduce several universal groups with triality and discuss their properties.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949880600182X

Reference15 articles.

1. A Survey of Binary Systems

2. Moufang loops of small order. I

3. Sigma Series in Pure Mathematics, 7;Pflugfelder H. O.,1990

4. The classification of finite simple Moufang loops

5. On loops of odd order II

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