On automorphisms of a distance-regular graph with intersection array {44,30,5;1,3,40}

摘要

Prime divisors of orders of automorphisms and the fixedpoint subgraphs of automorphisms of prime orders are studied for ahypothetical distance-regular graph with intersection array f44; 30; 5; 1; 3;40g. Let G = Aut(??) is nonsolvable group. If ?? is arc-transitive then Gis is an extension of some group P by PGL2(11), jP : O3(P)j = 2,jGa : Paj = 11 and jP : Paj = 9.