Distance-transitive graphs and generalized polygons
type: Item
instance of: scholarly article
title: Distance-transitive graphs and generalized polygons
zbMATH Open document ID: 0568.05030
DOI: 10.1007/BF01270491
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: Let G be a group acting distance-transitively and faithfully on a finite graph \(\Gamma\) of valency \(q+1\). Suppose as well that G acts transitively on the set of paths of length s in \(\Gamma\) for some \(s\geq 4\). Then \(\Gamma\) is the incidence graph of a generalized (s-1)-gon and G is isomorphic to a suitable subgroup of \(aut(L_ 3(q))\) with \(s=4\), \(aut(Sp_ 4(q))\) with \(s=5\) and q a power of two or \(aut(G_ 2(q))\) with \(s=7\) and q a power of three, or \(\Gamma\) is isomorphic to one of two exceptional graphs.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 3906525
zbMATH Keywords: distance-transitive graph
zbMATH Keywords: generalized polygon
zbMATH Keywords: incidence graph
author: Richard M. Weiss
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3906525