Let $\Delta$ be a connected graph, without loops or multiple edges, such that each vertex has valency at least 3. Let $G$ be a subgroup of $Aut(\Delta)$ acting locally $s$-arc transitive on $\Delta$ and let ${x,y}$ be an edge. We show that if $s > 3$ and $|G_z| < infty$ for all $z in {x,y}$, then $G_{x,y}^{[1]}$ is non-trivial.
On locally s-arc transitive graphs with trivial edge kernel
VAN BON, Jozef Theodorus Maria
2011-01-01
Abstract
Let $\Delta$ be a connected graph, without loops or multiple edges, such that each vertex has valency at least 3. Let $G$ be a subgroup of $Aut(\Delta)$ acting locally $s$-arc transitive on $\Delta$ and let ${x,y}$ be an edge. We show that if $s > 3$ and $|G_z| < infty$ for all $z in {x,y}$, then $G_{x,y}^{[1]}$ is non-trivial.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
