Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-20T04:33:46.836Z Has data issue: false hasContentIssue false
  • English
  • Français

Lagrange's theorem for Moufang loops

Published online by Cambridge University Press:  22 June 2005

ALEXANDER N. GRISHKOV  and
ANDREI V. ZAVARNITSINE
ALEXANDER N. GRISHKOV
Affiliation:
Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo-SP, 05311-970, Brasil, and Omsk State University, pr. Mira 55-a, 644077, Russia. e-mail: [email protected]
Supported by FAPESP and CNPq, Brazil.
ANDREI V. ZAVARNITSINE
Affiliation:
Sobolev Institute of Mathematics, pr. Koptyuga 4, Novosibirsk, 630090, Russia and Departamento de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo-SP, 05311-970, Brasil. e-mail: [email protected]
Supported by FAPESP, Brazil, and RAS, Russia.
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove that the order of any subloop of a finite Moufang loop is a factor of the order of the loop, thus obtaining an analog of Lagrange's theorem for finite Moufang loops.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 1 , July 2005 , pp. 41 - 57
Copyright
2005 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)