Let f be a formation function and G an A-group. It is said that A acts f-hypercentrally on G if A acts f-centrally on every A-composition factor of G. In this paper, groups are investigated by f-hypercentral actions. In particular, some well-known results, including a theorem of Huppert and a theorem of Hall–Higman, are generalized.

中文翻译：

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关于有限群的f-超中心作用

令f为形成函数，G为A-基团。据说甲作用˚F -hypercentrally上ģ如果甲作用˚F -centrally上每一个的组成- ·因子ģ。在本文中，通过f-超中心作用来研究群体。特别是，得出了一些著名的结果，包括Huppert定理和Hall-Higman定理。