On <italic>p</italic>-sylowizers and <italic>p</italic>F-hypercentrally embedded structure of finite groups.

AbstractA subgroup <italic>S</italic> of a finite group <italic>G</italic> is called a <italic>p</italic>-sylowizer of a <italic>p</italic>-subgroup <italic>R</italic> in <italic>G</italic> if <italic>S</italic> is maximal in <italic>G</italic> with respect to having <italic>R</italic> as its Sylow <italic>p</italic>-subgroup. In this paper, we investigate pF -hypercentrally embedded structure of finite groups by using <italic>p</italic>-sylowizers of some <italic>p</italic>-subgroups with fixed order. [ABSTRACT FROM AUTHOR]