\(K\)-loops derived from Frobenius groups
type: Item
instance of: scholarly article
title: \(K\)-loops derived from Frobenius groups
zbMATH Open document ID: 1012.20065
DOI: 10.1016/S0012-365X(01)00400-9
author: Silvia Pianta
author: Elena Zizioli
author: Helmut Karzel
published in: Discrete Mathematics
publication date: 2002-12-02T00:00:00Z
review text: Starting with an Abelian group \((V,+)\) and a commutative subgroup \(G\) of \(\Aut(V,+)\), the authors introduce an invariant reflection structure on \(P=G\times V\), construct a \(K\)-loop, and exhibit some of its properties. Under certain conditions, the so obtained \(K\)-loop is an incidence fibered loop.
reviewed by: Erich W. Ellers
Mathematics Subject Classification ID: 20N05
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 51J99
zbMATH DE Number: 1838893
zbMATH Keywords: \(K\)-loops
zbMATH Keywords: invariant reflection structures
zbMATH Keywords: Frobenius groups
MaRDI profile type: Publication
full work available at URL: s0012-365x(01)00400-9
OpenAlex ID: W2028103023
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description: scientific article; zbMATH DE number 1838893