Moufang loops of even order
type: Item
instance of: scholarly article
title: Moufang loops of even order
zbMATH Open document ID: 0804.20050
author: Leong Fook
author: Teh Pang Eng
published in: Journal of Algebra
publication date: 1995-01-12T00:00:00Z
review text: \textit{O. Chein} [Trans. Am. Math. Soc. 188, No. 2, 31-51 (1974; Zbl 0263.20007)] and \textit{M. Purtill} [J. Algebra 112, 122-128 (1988; Zbl 0644.20040)] investigated Moufang loops \(L\) of even order \(n\) and proved that \(L\) are groups if \(n = 2^ k\) \((0 \leq k \leq 4)\) or \(n = 2p\) (\(p\) is any prime) or \(n = 2p^ 2\). In this paper the authors give necessary and sufficient conditions for all Moufang loops of order \(2m\) to be groups.
Mathematics Subject Classification ID: 20N05
zbMATH DE Number: 562443
zbMATH Keywords: Moufang loops
zbMATH Keywords: groups
zbMATH Keywords: Moufang loops of order \(2m\)
reviewed by: Elena Broží ková
MaRDI profile type: Publication
full work available at URL: jabr.1994.1066
OpenAlex ID: W2007262681
DOI: 10.1006/JABR.1994.1066
description: scientific article; zbMATH DE number 562443