A GENERALIZED FRATTINI SUBGROUP OF A FINITE GROUP

Authors

Prabir Bhattacharya, University of Nebraska - Lincoln
N. P. Mukherjee, Jawaharlal Nehru University

Date of this Version

1989

Citation

Internat. J. Math. & Math. Sci. VOL. 12 NO. 2 (1989) 263-266

Abstract

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