A generalized Frattini subgroup of a finite group

Prabir Bhattacharya and N. P. Mukherjee

International Journal of Mathematics and Mathematical Sciences, 1989, vol. 12, 1-4

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 G when each M in the definition of S P ( G ) is nilpotent.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:340245

DOI: 10.1155/S016117128900030X

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