On periodic groups with prescribed orders of elements

作     者：MAZUROV Victor Danilovich 

作者机构：Sobolev Institute of Mathematics Siberian Branch of Russian Academy of Sciences 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2009年第52卷第2期

页      面：311-317页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Russian Foundation of Basic Research (Grant Nos. 06-01-39001, 08-01-00322) the State Maintenance Program for the Leading Scientific Schools of the Russian Federation (Grant No. NSh–344.2008.1) Siberian Branch of RAS (complex integration project 2008.01.02) National Natural Science Foun-dation of China (Grant No. 10871032) the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20060285002) 

主　　题：spectrum periodic group local finiteness 20F50 

摘      要：This is a survey of results and open problems concerning the structure of periodic group with prescribed orders of their elements. In particular, an outline of a proof of the following recent result is given: every periodic group whose set of element orders coincides with {1,2,3,4,8} is locally finite.