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Groups with a (B, N)–pair and locally transitive graphs

Published online by Cambridge University Press:  22 January 2016

Richard Weiss*
Affiliation:
II. Mathematisches Institut der Freien Universität Berlin
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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).

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Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979