Let Δ be a connected graph, without loops or multiple edges, such that each vertex has valency at least 3. Let x,y be an edge. Let G⩽Aut(Δ) acting locally s-arc transitively on Δ with |G z |<∞ for all z∈x,y. The amalgam (G x ,G y ;G x,y ) is determined in the case where s⩾4 and there doesn't exist a prime p for which Δ is of local characteristic p with respect to G.

On locally s-arc transitive graphs that are not of local characteristic p

van Bon, J.
;
2019

Abstract

Let Δ be a connected graph, without loops or multiple edges, such that each vertex has valency at least 3. Let x,y be an edge. Let G⩽Aut(Δ) acting locally s-arc transitively on Δ with |G z |<∞ for all z∈x,y. The amalgam (G x ,G y ;G x,y ) is determined in the case where s⩾4 and there doesn't exist a prime p for which Δ is of local characteristic p with respect to G.
Locally s-arc transitive graphs, Group amalgams
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Descrizione: The publisher version is available at https://www.sciencedirect.com/science/article/pii/S0021869319301255?via=ihub; DOI: 10.1016/j.jalgebra.2019.03.002
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/293244
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