ON THE ORDER OF ARC-STABILISERS IN ARC-TRANSITIVE GRAPHS, II
2012 ◽
Vol 87
(3)
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pp. 441-447
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Keyword(s):
AbstractLet $\Gamma $ be a $G$-vertex-transitive graph and let $(u,v)$ be an arc of $\Gamma $. It is known that if the local action $G_v^{\Gamma (v)}$ (the permutation group induced by $G_v$ on $\Gamma (v)$) is permutation isomorphic to the dihedral group of degree four, then either $|G_{uv}|$ is ‘small’ with respect to the order of $\Gamma $ or $\Gamma $is one of a family of well-understood graphs. In this paper, we generalise this result to a wider class of local actions.
2014 ◽
Vol 157
(1)
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pp. 45-61
2009 ◽
Vol 3
(2)
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pp. 386-394
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2019 ◽
Vol 11
(05)
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pp. 1930002
1994 ◽
Vol 56
(1)
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pp. 53-63
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1975 ◽
Vol 20
(3)
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pp. 377-384
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