This work is a contribution to the classification of linear spaces admitting a pointtransitive automorphism group. Let S be a regular linear space with 51 points, with lines of size 6, and G be an automorphism group o...This work is a contribution to the classification of linear spaces admitting a pointtransitive automorphism group. Let S be a regular linear space with 51 points, with lines of size 6, and G be an automorphism group of S. We prove that G cannot be point-transitive.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.11801311 11626141)
文摘This work is a contribution to the classification of linear spaces admitting a pointtransitive automorphism group. Let S be a regular linear space with 51 points, with lines of size 6, and G be an automorphism group of S. We prove that G cannot be point-transitive.