西南交通大学学报(英文版)2008，Vol.16Issue(2)：195-198,4.
(F)-Decomposition of Minimax Module over Hyper Finite Groups
(F)-Decomposition of Minimax Module over Hyper Finite Groups
QIN Ying-bing 1Sheng Xiao-ling2
作者信息
- 1. Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
- 2. Chengdu Vocational and Technical College, Chengdu 610041, China
- 折叠
摘要
Abstract
Let G be a hyper finite locally solvable group, A a minimax ZG-module, (F) a locally defined formation consisting of locally solvable groups, A has no nonzero infinite irreducible ZG-factors, and G ∈(F) . The following results are proved: if A has a maximal submodule B such that A/B is central in G and B has no nonzero (F)-central ZG-factors, then A has an (F)-decomposition; if A has an irreducible (F)-central submodule B such that all ZG-composition factors of A/B are (F)-eccentric, then A has an (F)-decomposition.关键词
Minimax module/ Hyper finite group/ (F)-DecompositionKey words
Minimax module/ Hyper finite group/ (F)-Decomposition分类
交通工程引用本文复制引用
QIN Ying-bing,Sheng Xiao-ling..(F)-Decomposition of Minimax Module over Hyper Finite Groups[J].西南交通大学学报(英文版),2008,16(2):195-198,4.
