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Class-Preserving Coleman Automorphisms of Finite Groups Whose Second Maximal Subgroups Are TI-Subgroups

Zhengxing LI  Jinke HAI  
【摘要】:Recall that a subgroup H of a finite group G is called a TI-subgroup if H ∩ H~g= 1 or H for each g ∈ G.Suppose that G is a finite group whose second maximal subgroups are TI-subgroups.It is shown that every class-preserving Coleman automorphism of G is an inner automorphism.As an immediate consequence of this result,we obtain that the normalizer property holds for G.

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