Particular \(1,M,N\)-antiautomorphisms of directed triple systems (Q2799851)
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scientific article; zbMATH DE number 6568606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Particular \(1,M,N\)-antiautomorphisms of directed triple systems |
scientific article; zbMATH DE number 6568606 |
Statements
13 April 2016
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antiautomorphism
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bicyclic
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directed triple system
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0.93923485
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0.93023026
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Particular \(1,M,N\)-antiautomorphisms of directed triple systems (English)
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A directed triple system is a pair \((D,\mathcal{T})\) where \(\mathcal{T}\) is a collection of transitive triples \((a,b,c)=\{(a,b),(a,c),(b,c)\}\) of elements of a set \(D\) such that each ordered pair of elements of \(D\) occurs in exactly one transitive triple of \(\mathcal{T}\).NEWLINENEWLINEIn this paper, a sufficient condition for the existence of an anti-automorphism (a permutation on \(D\) that maps \(\mathcal{T}\) to \(\mathcal{ T}^{-1}=\{(c,b,a);(a,b,c)\in \mathcal{T}\}\) with given properties is provided.
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