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

@inproceedings{Zhengxing2013ClassPreservingCA, title={Class-Preserving Coleman Automorphisms of Finite Groups Whose Second Maximal Subgroups Are TI-Subgroups}, author={Li Zheng-xing and HaiJinke}, year={2013} }

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 2 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.

#### References

##### Publications referenced by this paper.

SHOWING 1-8 OF 8 REFERENCES

## Class-Preserving Coleman Automorphisms of Finite ATI-Groups

VIEW 3 EXCERPTS

## A Course in the Theory of Groups

## SEHGAL. Units in Integral Group Rings

VIEW 1 EXCERPT