- 期刊
A GENERALIZED FRATTINI SUBGROUP OF A FINITE GROUP
摘要
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.
延伸閱讀
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