Loops with two-sided inverses constructed by a class of regular permutation sets.
type: Item
instance of: scholarly article
title: Loops with two-sided inverses constructed by a class of regular permutation sets.
zbMATH Open document ID: 1237.20059
author: Stefano Pasotti
author: Elena Zizioli
published in: Journal of Geometry
publication date: 2012-01-13T00:00:00Z
review text: During the last twenty years many authors have been investigating the relationship between loops and geometries, see e.g.: \textit{R. Capodaglio} [Mitt. Math. Ges. Hamb. 23, No. 1, 95-104 (2004; Zbl 1088.20038)]; \textit{E. Gabrieli} and \textit{H. Karzel} [Result. Math. 32, No. 1-2, 61-65 (1997; Zbl 0922.51007)]; \textit{H. Karzel} [Quasigroups Relat. Syst. 15, No. 1, 47-76 (2007; Zbl 1134.20068)]. This paper is a generalization of the paper by \textit{E. Zizioli} [J. Geom. 95, No. 1-2, 173-186 (2009; Zbl 1198.20064)].
reviewed by: C. Pereira da Silva
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 51A15
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 5997657
zbMATH Keywords: loops with two-sided inverses
zbMATH Keywords: involutorial difference loops
zbMATH Keywords: regular permutation sets
zbMATH Keywords: Moufang loops
zbMATH Keywords: K-loops
MaRDI profile type: Publication
full work available at URL: s00022-011-0071-5
OpenAlex ID: W1969931924
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DOI: 10.1007/S00022-011-0071-5
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description: scientific article; zbMATH DE number 5997657