Abstract
A subgroup H of a finite group G is called a QTI-subgroup if C G (x) ≤ N G (H) for any 1 ≠ x ∈ H. In this article, the finite groups all of whose second maximal subgroup are QTI-subgroups are classified.
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ACKNOWLEDGMENTS
This article is partially supported by the National Natural Science Foundation of China (11071155), SRFDP (200802800011), the Shanghai Leading Academic Discipline Project (J50101).
Notes
Communicated by V. A. Artamonov.