In the author's Ph. D thesis, a non-quasiprimitive graph admitting a quasiprimitive automorphism group isomorphic to J1 was constructed ,where J1 is Janko simple group of order 175560. Is this the only one for J1? I...In the author's Ph. D thesis, a non-quasiprimitive graph admitting a quasiprimitive automorphism group isomorphic to J1 was constructed ,where J1 is Janko simple group of order 175560. Is this the only one for J1? In this paper all primitive (J1,2)-arc transitive graphs Г are given and that AutГ≌J1 is proved.展开更多
基金Supported by the National Natural Science Foundation of China(10471152).
文摘In the author's Ph. D thesis, a non-quasiprimitive graph admitting a quasiprimitive automorphism group isomorphic to J1 was constructed ,where J1 is Janko simple group of order 175560. Is this the only one for J1? In this paper all primitive (J1,2)-arc transitive graphs Г are given and that AutГ≌J1 is proved.
基金supported by National Natural Science Foundation of the People’s Republic of China“On the symmetries and local properties of graphs with square-free order”(11601005)Anhui Provincial Science Fund for Excellent Young Scholars“On the symmetries of edge-primitive graphs with square-free order”(gxyq2020011).