Date of this Version
Internat. J. Math. & Math. Sci. VOL. 12 NO. 2 (1989) 263-266
For a finite group G and an arbitrary prime p, let Sp (G) denote the intersection of all maximal subgroups M of G such that [G:M] is both composite and not divisible by p; if no such M exists we set Sp (G) = G. Some properties of G are considered involving Sp (G). In particular, we obtain a characterization of P G when each M in the definition of Sp (G) is nilpotent.