On cyclic tournaments
type: Item
instance of: scholarly article
title: On cyclic tournaments
zbMATH Open document ID: 0778.05040
published in: Hokkaido Mathematical Journal
publication date: 1992-12-15T00:00:00Z
review text: A tournament is an orientation of a complete graph. A tournament \(T\) is called cyclic if its automorphism group \(G(T)\) contains the permutation \(C=(1,2,\dots,n)\), where \(n\) is the number of vertices of \(T\). Let \(W(n)\) denote the set of all subgroups of the symmetric group \(S(n)\) of odd orders containing \(C\). This paper gives a number of results on the structure of \(W(n)\). It is shown that every element of \(W(n)\) is the automorphism group of some cyclic tournament \(T\).
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 05C20
Mathematics Subject Classification ID: 20B35
zbMATH DE Number: 78120
zbMATH Keywords: cyclic tournaments
zbMATH Keywords: automorphism group
zbMATH Keywords: cyclic tournament
author: Noboru Ito
reviewed by: Jørgen Bang-Jensen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381413682
OpenAlex ID: W2034746864
DOI: 10.14492/HOKMJ/1381413682
description: scientific article; zbMATH DE number 78120