English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we study arc-transitive Cayley graphs on non-abelian simplegroups with soluble stabilizers and valency seven. Let $\Ga$ be such a Cayleygraph on a non-abelian simple group $T$. It is proved that either $\Ga$ is anormal Cayley graph or $\Ga$ is $S$-arc-transitive, with$(S,T)=(\A_n,\A_{n-1})$ and $n=7,21,63$ or $84$; and, for each of these fourvalues of $n$, there really exists arc-transitive $7$-valent non-normal Cayleygraphs on $\A_{n-1}$ and specific examples are constructed.

Arc-transitive Cayley graphs on non-ableian simple groups with soluble vertex stabilizers and valency seven