Groups with a (B, N)–pair and locally transitive graphs
- 1 July 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 74, 1-21
- https://doi.org/10.1017/s0027763000018420
Abstract
Let Γ be an undirected graph and G a subgroup of aut (Γ). We denote by ∂(x, y) the distance between two vertices x and y, by E(Γ) the edge set of Γ, by V(Γ) the vertex set of Γ, by Γ(x) the set of neighbors of the vertex x and by G(x)Γ(x) the permutation group induced by the stabilizer G(x) on Γ(x).Keywords
This publication has 9 references indexed in Scilit:
- Generalized hexagons of order (t,t)Israel Journal of Mathematics, 1976
- Über lokal s-reguläre GraphenJournal of Combinatorial Theory, Series B, 1976
- Doubly primitive vertex stabilisers in graphsMathematische Zeitschrift, 1974
- On regular graphs. IIIJournal of Combinatorial Theory, Series B, 1973
- On the point stabilizer in a primitive permutation groupMathematische Zeitschrift, 1973
- The nonexistence of certain generalized polygonsJournal of Algebra, 1964
- Finite permutation groups of rank 3Mathematische Zeitschrift, 1964
- Finite Fano PlanesAmerican Journal of Mathematics, 1956
- A family of cubical graphsMathematical Proceedings of the Cambridge Philosophical Society, 1947