交错群A₆₂上的7度弧传递非正规Cayley图的全自同构群

The Full Automorphism Group of a Nonnormal Arc-Transitive 7-Valent Cayley Graph on the Alternating Group A₆₂

潘江敏教授等人在文章[Arc-transitive Cayley graphs on non-ableian simple groups with soluble vertex stabilizers and valency seven, arXiv:1707.09785v1, 2017]中构造了交错群A62上的一个7度弧传递非正规Cayley图。在本文中,我们将证明该图的全自同构群同构于A63。