Automorphisms of distance regular graph with intersection array 30, 27, 24; 1, 2, 10

Abstract

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 30, 27, 24; 1, 2, 10. Let G = Aut(Γ) is nonsolvable group, G = G=S(G) and T is the socle of G. If Γ is vertex-symmetric then (G) is f2g-group, and T ≅= L2(11),M11,U5(2),M22,A11,HiS. © 2019, Sobolev Institute of Mathematics.