Об автоморфизмах графа с массивом пересечений $\{27,24,1;1,8,27\}$

Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array $\{27,24,1;1,8,27\}$. It is shown, that there exists the unique (up to isomorphism) arc-transitive distance-regular graph with intersection array $\{27,24,1;1,8,27\}$. This graph is obtainable by the Cameron construction.