Automorphism Groups Of The Primitive Complex Reflection Groups

As a class of finite reflection groups and different from finite real reflection groups,finite complex reflection groups are studied by more and more people in recent years.And researchers have got many good properties about complex reflection groups,especially in combinatorics.Recently,Shi and Wang Li have done much work on the automorphism groups of the imprimitive complex reflection groups(see[7]).In this paper,we will describe the automorphism groups Aut₄,…,Aut₃₃of the primitive complex groups G₄,…,G₃₃ ,which consist of all the automorphisms each of whom sends a reflection to a reflection.