Factorizations of Fitting classes  

作　　者：Nanying YANG Wenbin GUO N.T. VOROB'EV 

机构地区：[1]School of Mathematics, University of Science and Technology of China, Hefei 230026, China [2]Department of Mathematics, Vitebsk State University, Vitebsk 210038, Belarus

出　　处：《Frontiers of Mathematics in China》2012年第5期943-954,共12页中国高等学校学术文摘·数学（英文）

摘　　要：In this paper, we prove that there exists a infinite set of non-trivial local Fitting classes every element in which is decomposable as a non-trivial product of Fitting classes such that every factor in the product is neither local nor a formation. In particular, this gives a positive answer to Problem 11.25 a） in The Kourovka Notebook.In this paper, we prove that there exists a infinite set of non-trivial local Fitting classes every element in which is decomposable as a non-trivial product of Fitting classes such that every factor in the product is neither local nor a formation. In particular, this gives a positive answer to Problem 11.25 a） in The Kourovka Notebook.

关 键 词：Fitting class Normal Fitting class semilocal Fitting class Lockett class 

分 类 号：U463[机械工程—车辆工程] TP368.32[交通运输工程—载运工具运用工程]