Distance Transitive Graphs with Symmetric or Alternating Automorphism Group
نویسندگان
چکیده
for some n , acting primitively on the set of vertices. This forms a part of the programme for the classification of all finite primitive distance transitive graphs begun in [76]; for in [76] this classification is reduced to the determination of all such graphs whose automorphism group G is either almost simple (that is, T o f f S Aut T for some nonabelian simple group T ) or affine (that is, V < G<AGL(V) , the group of affine transformations of a finite vector space V ). Thus in this paper we deal with part of the almost simple case, namely the case where T = An . When T is a linear group of dimension at least 7 , a classification is obtained in [7]; discussion of the remaining almost simple cases can be
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