A Generalized Frattini Subgroup of a Finite Group

نویسنده

  • PRABIR BHATTACHARYA
چکیده

For a finite group G and an arbitrary prime p, let S (G) denote the P 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 S (G) G. Some properties of P G are considered involving S (G). In particular, we obtain a characterization of P G when each M in the definition of S (G) is nilpotent. P

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تاریخ انتشار 2004