Frattini argument for Hall subgroups
نویسندگان
چکیده
منابع مشابه
Abelian groups have/are near Frattini subgroups
The notions of nearly-maximal and near Frattini subgroups considered by J.B. Riles in [20] and the natural related notions are characterized for abelian groups.
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Let G = A ∗H B be the generalized free product of the groups A and B with the amalgamated subgroup H. Also, let λ(G), μ(G), ψ(G), K(G,H), and Tor H represent the lower near Frattini subgroup of G, the upper near Frattini subgroup of G, the near Frattini subgroup of G, the core of H in G, and the torsion subgroup of H, respectively. Since 1990 a series of papers have been published by the author...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2014
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2014.04.031