文章基本信息

标题：A generalized Frattini subgroup of a finite group
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作者：Prabir Bhattacharya ; N. P. Mukherjee
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1989
卷号：12
DOI：10.1155/S016117128900030X
出版社：Hindawi Publishing Corporation
摘要：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 G when each M in the definition of SP(G) is nilpotent.