西南交通大学学报(英文版)
西南交通大學學報(英文版)
서남교통대학학보(영문판)
JOURNAL OF SOUTHWEST JIAOTONG UNIVERSITY
2002年
2期
139-143
,共5页
F -decomposition%artinian module%hyper-(cyclic or finite) groups
Let Fbe a formation locally defined by f(p), G∈ Fand A a ZG-module, where p∈π={all primes and symbol ∞}.Then a p-main-factor U/V of G is said to be F -central in G if G/CG(U/V)∈f(p). In this paper, we have proved that: let Fbe a locally defined formation consisting of locally soluble groups, G a hyper-(cyclic or finite) locally soluble group and A an artinian ZG-module with all irreducible ZG-factors of A being finite; if G ∈ F, f(∞) f(p), f(p)≠ for each p∈π, A has an F -decomposition.
